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Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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$\int\left(\csc\left(x\right)+\cot\left(x\right)\right)\left(1-\cos\left(x\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (csc(x)+cot(x))(1-cos(x)). Find the integral. Rewrite the integrand \left(\csc\left(x\right)+\cot\left(x\right)\right)\left(1-\cos\left(x\right)\right) in expanded form. Expand the integral \int\left(\csc\left(x\right)-\cos\left(x\right)\cot\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\csc\left(x\right)dx results in: -\ln\left(\csc\left(x\right)+\cot\left(x\right)\right).