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