Exercise
$\int\left(\frac{4}{3}w^5-\frac{2}{7}w^3+\frac{1}{2}w\right)dw$
Step-by-step Solution
Learn how to solve simplification of algebraic expressions problems step by step online. Integrate int(4/3w^5-2/7w^31/2w)dw. Expand the integral \int\left(\frac{4}{3}w^5-\frac{2}{7}w^3+\frac{1}{2}w\right)dw into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{4}{3}w^5dw results in: \frac{2}{9}w^{6}. The integral \int-\frac{2}{7}w^3dw results in: -\frac{1}{14}w^{4}. The integral \int\frac{1}{2}wdw results in: \frac{1}{4}w^2.
Integrate int(4/3w^5-2/7w^31/2w)dw
Final answer to the exercise
$\frac{2}{9}w^{6}-\frac{1}{14}w^{4}+\frac{1}{4}w^2+C_0$