Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Rewrite the trigonometric expression $\sin\left(x\right)^2\cos\left(x\right)^2$ inside the integral
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$\int\left(\cos\left(x\right)^2-\cos\left(x\right)^{4}\right)dx$
Learn how to solve 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.
