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- Integrate by partial fractions
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Simplify $2\sin\left(x\right)\cos\left(x\right)^2$ into $2\sin\left(x\right)-2\sin\left(x\right)^{3}$ by applying trigonometric identities
Learn how to solve trigonometric integrals problems step by step online.
$\int\left(2\sin\left(x\right)-2\sin\left(x\right)^{3}\right)dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(2sin(x)cos(x)^2)dx. Simplify 2\sin\left(x\right)\cos\left(x\right)^2 into 2\sin\left(x\right)-2\sin\left(x\right)^{3} by applying trigonometric identities. Expand the integral \int\left(2\sin\left(x\right)-2\sin\left(x\right)^{3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2\sin\left(x\right)dx results in: -2\cos\left(x\right). The integral \int-2\sin\left(x\right)^{3}dx results in: \frac{2\sin\left(x\right)^{2}\cos\left(x\right)}{3}+\frac{4}{3}\cos\left(x\right).
