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The integral $-6\int x\left(-\cos\left(x\right)+\frac{\cos\left(x\right)^{3}}{3}\right)dx$ results in: $4x\sin\left(x\right)+\frac{40}{9}\cos\left(x\right)+\frac{2x\sin\left(x\right)^{3}}{3}+\frac{2\sin\left(x\right)^{2}\cos\left(x\right)}{9}$
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$4x\sin\left(x\right)+\frac{40}{9}\cos\left(x\right)+\frac{2x\sin\left(x\right)^{3}}{3}+\frac{2\sin\left(x\right)^{2}\cos\left(x\right)}{9}$
Learn how to solve problems step by step online. Find the integral int(3x^2sin(x)^3)dx. The integral -6\int x\left(-\cos\left(x\right)+\frac{\cos\left(x\right)^{3}}{3}\right)dx results in: 4x\sin\left(x\right)+\frac{40}{9}\cos\left(x\right)+\frac{2x\sin\left(x\right)^{3}}{3}+\frac{2\sin\left(x\right)^{2}\cos\left(x\right)}{9}. 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.