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