evaluate-0-pi-3-1-sin-2-x-cos-2-x-dx-

Question Number 115363 by mathdave last updated on 25/Sep/20

e v a l u a t e

\int_{0}^{\frac{π}{3}} \frac{1}{\sin^{2} x + \cos^{2} x} d x

Answered by Dwaipayan Shikari last updated on 25/Sep/20

\int_{0}^{\frac{π}{3}} \frac{1}{\sin^{2} x + \cos^{2} x} dx = \int_{0}^{\frac{π}{3}} 1 dx = \frac{π}{3}