Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Expand the integral $\int_{0}^{1}\left(\sin\left(x\right)^2-x\sin\left(x^2\right)\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{1}\sin\left(x\right)^2dx+\int_{0}^{1}-x\sin\left(x^2\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function sin(x)^2-xsin(x^2) from 0 to 1. Expand the integral \int_{0}^{1}\left(\sin\left(x\right)^2-x\sin\left(x^2\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Reduce \sin\left(x\right)^2 by applying trigonometric identities. The integral \int_{0}^{1}\frac{1-\cos\left(2x\right)}{2}dx results in: 0.2726756. The integral \int_{0}^{1}-x\sin\left(x^2\right)dx results in: -\frac{77}{335}.