Area under the Curve

antiderivative: 0

C

antiderivative: k (a constant)

kx+c

antiderivative: kf(x)

kF(x)+C

antiderivative: f(x)+g(x)

F(x)+G(x)+C

antiderivative: x^n, n≠-1

(x^n+1)/n+1 + C

antiderivative: 1/x

ln|x| + C

antiderivative: e^x

e^x + C

antiderivative: cosx

sinx + C

antiderivative: sinx

-cosx + C

antiderivative: sec^2x

tanx + C

antiderivative: secxtanx

secx + C

antiderivative: csc^2x

-cotx + C

derivative: sinx

cosx

derivative: cosx

-sinx

derivative: tanx (d/dx)

sec^2x

derivative: cscx

-cscxcotx

derivative: secx

secxtanx

derivative: cotx

-csc^2x

Fundamental theorem of calculus

0

reverse interval