Final Answer
Step-by-step Solution
Specify the solving method
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. The integral \int_{0}^{1}\sin\left(x\right)^2dx results in: 0.272676. The integral \int_{0}^{1}-x\sin\left(x^2\right)dx results in: -\frac{77}{335}. Gather the results of all integrals.