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- Integrate by partial fractions
- Integrate by substitution
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- Integrate using tabular integration
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- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the integrand $\tan\left(x\right)\left(2+\sin\left(x\right)\right)$ in expanded form
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$\int_{1}^{2}\left(2\tan\left(x\right)+\sin\left(x\right)\tan\left(x\right)\right)dx$
Learn how to solve problems step by step online. Integrate the function tan(x)(2+sin(x)) from 1 to 2. Rewrite the integrand \tan\left(x\right)\left(2+\sin\left(x\right)\right) in expanded form. Expand the integral \int_{1}^{2}\left(2\tan\left(x\right)+\sin\left(x\right)\tan\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{1}^{2}2\tan\left(x\right)dx results in: -2\ln\left(\cos\left(2\right)\right)+2\ln\left(\cos\left(1\right)\right). Gather the results of all integrals.
