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Apply the formula: $\int\cos\left(\theta \right)^ndx$$=\frac{\cos\left(\theta \right)^{\left(n-1\right)}\sin\left(\theta \right)}{n}+\frac{n-1}{n}\int\cos\left(\theta \right)^{\left(n-2\right)}dx$, where $n=6$
Learn how to solve intégrales trigonométriques problems step by step online.
$\frac{\cos\left(x\right)^{5}\sin\left(x\right)}{6}+\frac{5}{6}\int\cos\left(x\right)^{4}dx$
Learn how to solve intégrales trigonométriques problems step by step online. int(cos(x)^6)dx. Apply the formula: \int\cos\left(\theta \right)^ndx=\frac{\cos\left(\theta \right)^{\left(n-1\right)}\sin\left(\theta \right)}{n}+\frac{n-1}{n}\int\cos\left(\theta \right)^{\left(n-2\right)}dx, where n=6. The integral \frac{5}{6}\int\cos\left(x\right)^{4}dx results in: \frac{5\cos\left(x\right)^{3}\sin\left(x\right)}{24}+\frac{5}{8}\left(\frac{1}{2}x+\frac{1}{4}\sin\left(2x\right)\right). Gather the results of all integrals. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
