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When multiplying exponents with same base we can add the exponents
Learn how to solve trigonometric integrals problems step by step online.
$\int\sin\left(x\right)^{6}dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(sin(x)^2sin(x)^4)dx. When multiplying exponents with same base we can add the exponents. Apply the formula: \int\sin\left(\theta \right)^ndx=\frac{-\sin\left(\theta \right)^{\left(n-1\right)}\cos\left(\theta \right)}{n}+\frac{n-1}{n}\int\sin\left(\theta \right)^{\left(n-2\right)}dx, where n=6. The integral \frac{5}{6}\int\sin\left(x\right)^{4}dx results in: \frac{-5\sin\left(x\right)^{3}\cos\left(x\right)}{24}+\frac{5}{8}\left(\frac{x}{2}-\frac{1}{4}\sin\left(2x\right)\right). Gather the results of all integrals.