Calculus 2: Trigonometric Integrals

Find the indefinite integral of $\displaystyle \int \cos^5(x) \cdot \sin(x) \, dx$.

Find the indefinite integral of $\sin^5(x) \cdot \cos^2(x) \, dx$.

Find the indefinite integral of $\sin^5(x) \cdot \cos^3(x)$.

Find the indefinite integral of $extstyle \\sin^2(x)$.

Find the anti-derivative of $\cos^2(3x)$.

Find the indefinite integral of $\\displaystyle \\int \\sin^4(x) \, dx$.

What is the anti-derivative of $\sin^2(x)\cos^2(x)\, dx$?

Find the indefinite integral of $\cos^2(x) \cdot \tan^3(x)\, dx$.