Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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$\int_{\frac{\pi}{2}}^{\pi }\frac{\tan\left(x\right)}{\sin\left(x\right)^2\sec\left(x\right)+\cos\left(x\right)}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function tan(x)/(sin(x)^2sec(x)+cos(x)) from pi/2 to pi. Simplifying. Rewrite the trigonometric expression \frac{\tan\left(x\right)}{\sin\left(x\right)^2\sec\left(x\right)+\cos\left(x\right)} inside the integral. Apply the integral of the sine function: \int\sin(x)dx=-\cos(x). Evaluate the definite integral.