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Integrals, derivatives, tables, etc.

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Term
Definition
Derivative of any constant   show
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show 1  
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Derivative of x^n   show
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Derivative of e^x   show
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Derivative of n^x   show
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Derivative of sinx   show
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Derivative of cosx   show
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Derivative of tanx   show
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Derivative of cotx   show
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Derivative of secx   show
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Derivative of cscx   show
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Derivative of arcsinx, or the inverse of sinx   show
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show -1/√(1-x^2)  
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Derivative of arctanx, or the inverse of tanx   show
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show -1/(1+x^2)  
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show 1/(x√(x^2-1))  
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Derivative of arccscx, or the inverse of cscx   show
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Integral of 0dx   show
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Integral of 1dx   show
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show x^n+1/n+1 + C  
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Integral of e^xdx   show
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show lnx + C  
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show n^x/lnx  
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Integral of cosxdx   show
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show -cosx + C  
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Integral of sec^2xdx   show
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Integral of csc^2xdx   show
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Integral of tanxsecxdx   show
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Integral of cotxcscxdx   show
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show arcsinx + C  
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Integral of -1/√1-x^2dx   show
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show arcsecx + C  
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Integral of -1/x√x^2-1dx   show
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show 2sinΘcosΘ  
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show cos^2Θ-sin^2Θ = 2cos^2Θ-1 = 1 - 2sin^2Θ  
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Double Angle Formula of tan2Θ   show
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Half Angle Formula of sin^2Θ   show
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show +-√1-cosΘ/2  
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Half Angle Formula of cos^2Θ   show
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Half Angle Formula of cosΘ/2   show
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show +-√1-cosΘ/1+cosΘ or sinx/1+cosx or 1-cosx/sinx  
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Substitution for √a^2-x^2   show
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show dx = a cosΘdΘ  
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Trig Identity for √a^2-x^2   show
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show acosΘ  
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Substitution for √a^2+x^2   show
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show dx = asec^2ΘdΘ  
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show 1 + tan^2Θ = sec^2Θ  
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show asecΘ  
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Substitution for √x^2-a^2   show
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Derivative substitution for √x^2-a^2   show
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Trig Identity for √x^2-a^2   show
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Result for √x^2-a^2   show
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show logbM + logbN  
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logbM + logbN   show
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logb(M/N)   show
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show logb(M/N)  
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logb(M^k)   show
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show logb(M^k)  
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logb(1)   show
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show 1  
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show k  
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show k  
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show uv - ∫vdu  
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sin(Θ) on a triangle   show
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show a/h  
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tan(Θ) on a triangle   show
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csc(Θ)   show
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show h/a  
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cot(Θ)   show
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Reciprocal Identity for sinΘ   show
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show 1/secΘ  
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show 1/cotΘ  
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Reciprocal Identity for cscΘ   show
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show 1/cosΘ  
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Reciprocal Identity for cotΘ   show
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Pythagorean Trig Identity 1a   show
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show cos^2Θ = 1 - sin^2  
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show sin^2Θ = 1 - cos^2Θ  
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show 1 + tan^2Θ = sec^2Θ  
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Pythagorean Trig Identity 2b   show
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Pythagorean Trig Identity 2c   show
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Pythagorean Trig Identity 3a   show
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Pythagorean Trig Identity 3b   show
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show 1 = csc^2Θ - cot^2Θ  
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show Θ = sin^-1(o/h)  
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Inverse cosine (arccos)   show
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Inverse tangent (arctan)   show
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(x^a) * (x ^b)   show
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show (x^a) * (x^b)  
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(x^a)/(x^b)   show
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x^a-b   show
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show x^ab  
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x^ab   show
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show (x^a)(y^a)  
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(x^a)(y^a)   show
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(x/y)^a   show
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show 1/x^a  
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x^0   show
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ln(e)   show
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