Integrals, derivatives, tables, etc.
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| Derivative of any constant | 0
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| Derivative of x | 1
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| Derivative of x^n | nx^(n-1)
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| Derivative of e^x | e^x
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| Derivative of n^x | (n^x)(lnx)
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| Derivative of sinx | cosx
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| Derivative of cosx | -sinx
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| Derivative of tanx | sec^2x
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| Derivative of cotx | -csc^2x
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| Derivative of secx | secxtanx
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| Derivative of cscx | -cscxcotx
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| Derivative of arcsinx, or the inverse of sinx | 1/√(1-x^2)
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| Derivative of arccosx, or the inverse of cosx | -1/√(1-x^2)
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| Derivative of arctanx, or the inverse of tanx | 1/(1+x^2)
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| Derivative of arccotx, or the inverse of cotx | -1/(1+x^2)
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| Derivative of arcsecx, or the inverse of secx | 1/(x√(x^2-1))
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| Derivative of arccscx, or the inverse of cscx | -1/(x√(x^2-1))
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| Integral of 0dx | C
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| Integral of 1dx | x + C
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| Integral of x^ndx | x^n+1/n+1 + C
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| Integral of e^xdx | e^x
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| Integral of 1/xdx | lnx + C
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| Integral of n^x | n^x/lnx
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| Integral of cosxdx | sinx + C
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| Integral of sinxdx | -cosx + C
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| Integral of sec^2xdx | tanx + C
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| Integral of csc^2xdx | -cotx + C
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| Integral of tanxsecxdx | secx + C
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| Integral of cotxcscxdx | -cscx + C
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| Integral of 1/√1-x^2dx | arcsinx + C
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| Integral of -1/√1-x^2dx | arccotx + C
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| Integral of 1/x√x^2-1dx | arcsecx + C
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| Integral of -1/x√x^2-1dx | arccscx + C
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| Double Angle Formula of sin2Θ | 2sinΘcosΘ
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| Double Angle Formula of cos2Θ | cos^2Θ-sin^2Θ = 2cos^2Θ-1 = 1 - 2sin^2Θ
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| Double Angle Formula of tan2Θ | 2tanΘ/1 - tanΘ
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| Half Angle Formula of sin^2Θ | 1-cos2Θ/2
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| Half Angle Formula of sinΘ/2 | +-√1-cosΘ/2
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| Half Angle Formula of cos^2Θ | (1+cos2Θ)/2
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| Half Angle Formula of cosΘ/2 | +-√1+cosΘ/2
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| Half Angle Formula of tanΘ/2 | +-√1-cosΘ/1+cosΘ or sinx/1+cosx or 1-cosx/sinx
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| Substitution for √a^2-x^2 | x = asinΘ
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| Derivative Substitution for √a^2-x^2 | dx = a cosΘdΘ
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| Trig Identity for √a^2-x^2 | cos^2Θ = 1 - sin^2Θ
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| Result for √a^2-x^2 | acosΘ
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| Substitution for √a^2+x^2 | x = atanΘ
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| Derivative Substitution for √a^2+x^2 | dx = asec^2ΘdΘ
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| Trig Identity for √a^2+x^2 | 1 + tan^2Θ = sec^2Θ
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| Result for √a^2+x^2 | asecΘ
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| Substitution for √x^2-a^2 | x = a secΘ
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| Derivative substitution for √x^2-a^2 | dx = asecΘtanΘdΘ
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| Trig Identity for √x^2-a^2 | tan^2Θ = sec^2Θ-1
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| Result for √x^2-a^2 | atanΘ
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| logb(M * N) | logbM + logbN
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| logbM + logbN | logb(M*N)
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| logb(M/N) | logbM-logbN
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| logbM-logbN | logb(M/N)
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| logb(M^k) | klogbM
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| klogbM | logb(M^k)
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| logb(1) | 0
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| logb(b) | 1
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| logb(b^k) | k
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| b^logb(k) | k
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| ∫udv | uv - ∫vdu
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| sin(Θ) on a triangle | o/h
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| cos(Θ) on a triangle | a/h
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| tan(Θ) on a triangle | o/a
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| csc(Θ) | h/0
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| sec(Θ) | h/a
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| cot(Θ) | a/o
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| Reciprocal Identity for sinΘ | 1/cscΘ
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| Reciprocal Identity for cosΘ | 1/secΘ
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| Reciprocal Identity for tanΘ | 1/cotΘ
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| Reciprocal Identity for cscΘ | 1/sinΘ
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| Reciprocal Identity for secΘ | 1/cosΘ
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| Reciprocal Identity for cotΘ | 1/tanΘ
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| Pythagorean Trig Identity 1a | sin^2Θ + cos^2Θ = 1
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| Pythagorean Trig Identity 1b | cos^2Θ = 1 - sin^2
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| Pythagorean Trig Identity 1c | sin^2Θ = 1 - cos^2Θ
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| Pythagorean Trig Identity 2a | 1 + tan^2Θ = sec^2Θ
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| Pythagorean Trig Identity 2b | tan^2Θ = sec^2Θ - 1
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| Pythagorean Trig Identity 2c | 1 = sec^2Θ - tan^2Θ
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| Pythagorean Trig Identity 3a | 1 + cot^2Θ = csc^2Θ
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| Pythagorean Trig Identity 3b | cot^2Θ = csc^2Θ - 1
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| Pythagorean Trig Identity 3c | 1 = csc^2Θ - cot^2Θ
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| Inverse sin(arcsin) | Θ = sin^-1(o/h)
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| Inverse cosine (arccos) | Θ = cos^-1(a/h)
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| Inverse tangent (arctan) | Θ = tan^-1(o/a)
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| (x^a) * (x ^b) | x^a+b
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| x^a+b | (x^a) * (x^b)
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| (x^a)/(x^b) | x^a-b
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| x^a-b | (x^a)/(x^b)
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| (x^a)^b | x^ab
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| x^ab | (x^a)^b
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| (xy)^a | (x^a)(y^a)
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| (x^a)(y^a) | (xy)^a
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| (x/y)^a | (x^a)/(y^a)
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| x^-a | 1/x^a
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| x^0 | 1
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| ln(e) | 1
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Created by:
mozomari
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