Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Weierstrass Substitution
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Expand the integral $\int\left(6\tan\left(x\right)-8\csc\left(x\right)^2\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int6\tan\left(x\right)dx+\int-8\csc\left(x\right)^2dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(6tan(x)-8csc(x)^2)dx. Expand the integral \int\left(6\tan\left(x\right)-8\csc\left(x\right)^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int6\tan\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. Substituting in the original integral we get.