Solve the trigonometric integral $\int\left(\sin\left(x\right)\cos\left(x\right)\right)^4dx$

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$\int\frac{\sin\left(2x\right)^4}{16}dx$

Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int((sin(x)cos(x))^4)dx. Simplify the expression inside the integral. Take the constant \frac{1}{16} out of the integral. Divide 1 by 16. We can solve the integral \int\sin\left(2x\right)^4dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that 2x it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.