Exercise
$\int_0^{\pi\:}\frac{cos^2x}{1-sinx}dx$
Step-by-step Solution
Learn how to solve definite integrals problems step by step online. Integrate the function (cos(x)^2)/(1-sin(x)) from 0 to pi. Rewrite the trigonometric expression \frac{\cos\left(x\right)^2}{1-\sin\left(x\right)} inside the integral. Expand the integral \int_{0}^{\pi }\left(1+\sin\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{\pi }1dx results in: \pi . The integral \int_{0}^{\pi }\sin\left(x\right)dx results in: 2.
Integrate the function (cos(x)^2)/(1-sin(x)) from 0 to pi
Final answer to the exercise
$5.1415927$