Chapter 7.2, Problem 56E

(a)

To determine

To evaluate: The integral function ${\displaystyle \int \sin x\cos xdx}$ by the substitution $u=\cos x$.

(b)

To determine

To evaluate: The integral function ${\displaystyle \int \sin x\cos xdx}$ by the substitution $u=\sin x$.

(c)

To determine

To evaluate: The integral function ${\displaystyle \int \sin x\cos xdx}$ by the identity $\sin 2x=2\sin x\cos x$.

(d)

To determine

To evaluate: The integral function ${\displaystyle \int \sin x\cos xdx}$ by integration by parts.