Antiderivatives (aka Integrals)
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What is the integral of: f(x)=x^{p}
(x^{p+1 })/(p+1) +c

What is the integral of: f(x)=cos(ax)
(1/a)sin(ax)+c

What is the integral of: f(x)=sin(ax)
(1/a)cos(ax)+c

What is the integral of: f(x)=sec^{2}(ax)
(1/a)tan(ax)+c

What is the integral of: f(x)=csc^{2}(ax)
(1/a)cot(ax)+c

What is the integral of: f(x)=sec(ax)tan(ax)
(1/a)sec(ax)+c

What is the integral of: csc(ax)cot(ax)
(1/a)csc(ax)+c

What is the integral of: f(x)=e^{ax}
(1/a)e^{ax}+c

What is the integral of: f(x)=(1/x)
lnx+c

What is the integral of: f(x)=1/sqrt(a^{2}x^{2})
sin^{1}(x/a)+c

What is the integral of: 1/(a^{2}+x^{2})
(1/a)tan^{1}(x/a)+c

What is the integral of: f(x)=1/[x*sqrt(x^{2}a^{2})]
(1/a)sec^{1}(x/a)+c

What is the integral of: f(x)=1/(x^{2}+a^{2})
(1/x)tan^{1}(x/a)

What is the formula for integration by parts?
Integral{udv}dx = uv  Int{vdu}dx

What is the integral of: f(x)=ln(x)
x ln(x)  x + C

What is the integral of: f(x)= sec x dx
lnsec x + tan x + C

What is the integral of: f(x)= csc x dx
lncsc x + cot x + C