Integrals and Derivative formula's
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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| Derivative of Sinx | Cosx
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| Derivative of Tanx | (secx)^2
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| Derivative of Secx | SecxTanx
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| Derivative of Cosx | -Sinx
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| Derivative of Cotx | -(Cscx)^2
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| Derivative of Cscx | -(CscxCotx)
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| Integral of A^u | (1/ln(A))A^u
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| Integral of Tanu | -ln|cosu|
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| Integral of Cotu | ln|sinu|
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| Integral of Secu | ln|Secu+Tanu|
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| Integral of Cscu | -ln|Cscu+Cotu|
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| Integral of (1/sqr[A^2-u^2]) | Arcsin (u/a)
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| Integral of (1/[A^2+u^2]) | (1/A)Arctan(u/A)
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| Integral of (1/[u*sqr[u^2-A^2]]) | (1/A)Arcsec(|u|/A)
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| When doing the integral X^(n)e^(ax) what should your dv and u be? | u=X^(n)
dv=e^(ax)
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| When doing the integral X^(n)Sin(ax) what should your dv and u be? | u=X^(n)
dv=Sin(ax)
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| When doing the integral X^(n)Cos(ax) what should your dv and u be? | u=X^(n)
dv=Cos(ax)
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| When doing the integral X^(n)ln(x) what should your dv and u be? | dv=X^(n)
u=ln(x)
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| When doing the integral X^(n)arcsin(ax) what should your dv and u be? | dv=X^(n)
u=arcsin(ax)
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| When doing the integral X^(n)arctan(ax) what should your dv and u be? | dv=X^(n)
u=arctan(ax)
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| When doing the integral e^(ax)Sin(bx) what should your dv and u be? | u=Sin(bx)
dv=e^(ax)
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| Derivative of Arcsin(u) | (u'/sqr[1-u^2])
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| Derivative of Arccos(u) | (-u'/sqr[1-u^2])
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| Derivative of Arctan(u) | (u'/1+u^2)
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| Derivative of Arcsec(u) | (u'/|u|sqr[u^2-1])
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Created by:
pigfat
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