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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Rewrite the trigonometric expression $\frac{\sec\left(x\right)}{3\tan\left(x\right)+7}$ inside the integral
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$\int\frac{\sec\left(x\right)}{\frac{3\sin\left(x\right)+7\cos\left(x\right)}{\cos\left(x\right)}}dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(sec(x)/(3tan(x)+7))dx. Rewrite the trigonometric expression \frac{\sec\left(x\right)}{3\tan\left(x\right)+7} inside the integral. Simplify the expression inside the integral. We can solve the integral \int\frac{1}{3\sin\left(x\right)+7\cos\left(x\right)}dx by applying the method Weierstrass substitution (also known as tangent half-angle substitution) which converts an integral of trigonometric functions into a rational function of t by setting the substitution. Hence.