0-pi-e-sin-2-x-Cos-3-xdx-

Question Number 44232 by LYCON TRIX last updated on 24/Sep/18

\int_{0}^{π} e^{\sin^{2} x} {Cos}^{3} xdx

Answered by tanmay.chaudhury50@gmail.com last updated on 24/Sep/18

f (x) = e^{{s i n}^{2} x} {c o s}^{3} x

f (Π - x) = e^{{s i n (Π - x)}^{2}} {c o s (Π - x)}^{3}

= e^{{s i n}^{2} x} \times {(- c o s x)}^{3}

= - f (x)

s o \int_{0}^{Π} e^{{s i n}^{2} x} {c o s}^{3} x d x = 0

Commented by tanmay.chaudhury50@gmail.com last updated on 24/Sep/18

Commented by Hitarth Rana last updated on 24/Sep/18

P e r f e c t \dots ★ ★ ★ ★ ★

Commented by LYCON TRIX last updated on 24/Sep/18

Thanks a lot gentlemen

Commented by tanmay.chaudhury50@gmail.com last updated on 24/Sep/18

t h a n k y o u \dots