Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the integral
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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Find the integral
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$\int\left(\sin\left(x\right)^4-\cos\left(x\right)^4\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of sin(x)^4-cos(x)^4. Find the integral. Expand the integral \int\left(\sin\left(x\right)^4-\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\sin\left(x\right)^4dx results in: \frac{-\sin\left(x\right)^{3}\cos\left(x\right)}{4}+\frac{3}{4}\left(\frac{x}{2}-\frac{1}{4}\sin\left(2x\right)\right). Gather the results of all integrals.