Final Answer
Step-by-step Solution
Specify the solving method
Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\frac{\left(1-\cos\left(x\right)\right)\left(1+\frac{1}{\cos\left(x\right)}\right)}{\frac{\sin\left(x\right)}{\cos\left(x\right)}}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function ((1-cos(x))(1+1/cos(x)))/(sin(x)/cos(x)). Find the integral. Divide fractions \frac{\left(1-\cos\left(x\right)\right)\left(1+\frac{1}{\cos\left(x\right)}\right)}{\frac{\sin\left(x\right)}{\cos\left(x\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Combine all terms into a single fraction with \cos\left(x\right) as common denominator. Multiplying the fraction by \left(1-\cos\left(x\right)\right)\cos\left(x\right).