Final answer to the problem
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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Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\sin\left(x\right)\left(\sec\left(x\right)+\csc\left(x\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function sin(x)(sec(x)+csc(x)). Find the integral. Rewrite the integrand \sin\left(x\right)\left(\sec\left(x\right)+\csc\left(x\right)\right) in expanded form. Expand the integral \int\left(\sec\left(x\right)\sin\left(x\right)+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Applying the trigonometric identity: \sin\left(\theta \right)\sec\left(\theta \right) = \tan\left(\theta \right).