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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 $n=3$
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$\frac{\cos\left(x\right)^{2}\sin\left(x\right)}{3}+\frac{2}{3}\int\cos\left(x\right)dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(cos(x)^3)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=3. The integral \frac{2}{3}\int\cos\left(x\right)dx results in: \frac{2}{3}\sin\left(x\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.