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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 $n=4$
Learn how to solve intégrales trigonométriques problems step by step online.
$\frac{-\sin\left(x\right)^{3}\cos\left(x\right)}{4}+\frac{3}{4}\int\sin\left(x\right)^{2}dx$
Learn how to solve intégrales trigonométriques problems step by step online. int(sin(x)^4)dx. 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=4. Multiply the single term \frac{3}{4} by each term of the polynomial \left(\frac{1}{2}x-\frac{1}{4}\sin\left(2x\right)\right). The integral \frac{3}{4}\int\sin\left(x\right)^{2}dx results in: \frac{1}{2}\cdot \frac{3}{4}x-\frac{1}{4}\cdot \frac{3}{4}\sin\left(2x\right). Gather the results of all integrals.
