Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the integral
Learn how to solve problems step by step online.
$\int\frac{\cos\left(x\right)^2-\left(1-\sin\left(x\right)\right)}{\cos\left(x\right)-\cos\left(x\right)\sin\left(x\right)}dx$
Learn how to solve problems step by step online. Integrate the function (cos(x)^2-(1-sin(x)))/(cos(x)-cos(x)sin(x)). Find the integral. Solve the product -\left(1-\sin\left(x\right)\right). Apply the trigonometric identity: -1+\cos\left(\theta \right)^2=-\sin\left(\theta \right)^2. Rewrite the trigonometric expression \frac{-\sin\left(x\right)^2+\sin\left(x\right)}{\cos\left(x\right)-\cos\left(x\right)\sin\left(x\right)} inside the integral.