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Rewrite the integrand $\left(1-\sin\left(4x\right)\right)^3$ in expanded form
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$\int\left(1-3\sin\left(4x\right)+3\sin\left(4x\right)^2-\sin\left(4x\right)^3\right)dx$
Learn how to solve problems step by step online. Solve the trigonometric integral int((1-sin(4x))^3)dx. Rewrite the integrand \left(1-\sin\left(4x\right)\right)^3 in expanded form. Expand the integral \int\left(1-3\sin\left(4x\right)+3\sin\left(4x\right)^2-\sin\left(4x\right)^3\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dx results in: x. The integral \int-3\sin\left(4x\right)dx results in: \frac{3}{4}\cos\left(4x\right).