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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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Simplify $\cos\left(x\right)^2\sin\left(x\right)$ into $\sin\left(x\right)-\sin\left(x\right)^{3}$ by applying trigonometric identities
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(cos(x)^2sin(x))dx. Simplify \cos\left(x\right)^2\sin\left(x\right) into \sin\left(x\right)-\sin\left(x\right)^{3} by applying trigonometric identities. Expand the integral \int\left(\sin\left(x\right)-\sin\left(x\right)^{3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\sin\left(x\right)dx results in: -\cos\left(x\right). The integral \int-\sin\left(x\right)^{3}dx results in: \frac{\sin\left(x\right)^{2}\cos\left(x\right)}{3}+\frac{2}{3}\cos\left(x\right).
