Mathematics - Definite Integration Question with Solution | TestHub

Use $f=4{\sin }^{3}x$ and $g=2(1-\cos x{)}^2$. Substitution $t=\cos (x/2)$ gives the integral $64/3$. Also $g-h=2{\cos }^{2}x+(1-$ $\cos x{)}^2>0$ for every real $x$, so both (B) and (D) hold.