Integrals & Derivatives Rules [In Chain Rule Form] Review

Calculus 1 & 2 Review

Power Rule [Derivative]

Exponential Rule [Derivative]

Generalized Exponential Rule [Derivative]

Logarithm Rule [Derivative]

Product Rule [Derivative]

Quotient Rule [Derivative]

Power Rule [Integral]

Exponential Rule [Integral]

Generalized Exponential Rule [Integral]

1/x Rule [Integral]

Inverse Trig [Derivative]

Inverse Trig [Derivative]

Inverse Trig [Integral]

Inverse Trig [Integral]

U-Substitution

Integration By Parts

How do I solve this form?

If one exponent is odd, then use the Pythagorean Identity to set up a u-substitution. cos^2x + sin^2x = 1.

or

If both exponents are even, then use half-angle identities multiple times until all powers of the trig functions vanish to integrate. cos^2(x) = 1/2 + 1/2 cos(2x) sin^2(x) = 1/2 − 1/2 cos(2x)