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