Final Answer
$\frac{11}{3}-y$
Got another answer? Verify it here!
Step-by-step Solution
Specify the solving method
1
Expand the integral $\int_{0}^{1}\left(4-x^2-y\right)dx$ into $3$ integrals using the sum rule for integrals, to then solve each integral separately
$\int_{0}^{1}4dx+\int_{0}^{1}-x^2dx+\int_{0}^{1}-ydx$
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{1}4dx+\int_{0}^{1}-x^2dx+\int_{0}^{1}-ydx$
Learn how to solve definite integrals problems step by step online. Integrate the function 4-x^2-y from 0 to 1. Expand the integral \int_{0}^{1}\left(4-x^2-y\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{1}4dx results in: 4. The integral \int_{0}^{1}-x^2dx results in: -\frac{1}{3}. The integral \int_{0}^{1}-ydx results in: -y.
Final Answer
$\frac{11}{3}-y$