(\integral \_ { 0 } ^ { \pi / 2 } \cos ^ { 2 } x d x =) | MATH - SUMMATION OF SERIES BY DEFINITE INTEGRATION, GAMMA FUNCTION, LEIBNITZ'S RULE | SolveeIt

$\int _ { 0 } ^ { \pi / 2 } \cos ^ { 2 } x d x =$

$1 - \frac { \pi } { 4 }$

$1 + \frac { \pi } { 4 }$

$\frac { \pi } { 4 }$

$\frac { \pi } { 2 }$

Answer

$\frac { \pi } { 4 }$

Explanation

Using gamma function,

$\int _ { 0 } ^ { \pi / 2 } \cos ^ { 2 } x d x$ =.

Question: \(\int _ { 0 } ^ { \pi / 2 } \cos ^ { 2 } x d x =\)...