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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Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\cos\left(\theta\right)\cot\left(\theta\right)\left(\sec\left(\theta\right)-2\tan\left(\theta\right)\right)dt$
Learn how to solve integral calculus problems step by step online. Integrate the function cos(t)cot(t)(sec(t)-2tan(t)). Find the integral. Rewrite the integrand \cos\left(\theta\right)\cot\left(\theta\right)\left(\sec\left(\theta\right)-2\tan\left(\theta\right)\right) in expanded form. Expand the integral \int\left(\cot\left(\theta\right)-2\cos\left(\theta\right)\right)dt into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int\cot\left(\theta\right)dt 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 \theta by setting the substitution.