Exercise
$\int\left(4-18w^{11}-9w^9+8w^7+2w^5\right)dw$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate int(4-18w^11-9w^98w^72w^5)dw. Expand the integral \int\left(4-18w^{11}-9w^9+8w^7+2w^5\right)dw into 5 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int4dw results in: 4w. The integral \int-18w^{11}dw results in: -\frac{3}{2}w^{12}. The integral \int-9w^9dw results in: -\frac{9}{10}w^{10}.
Integrate int(4-18w^11-9w^98w^72w^5)dw
Final answer to the exercise
$4w-\frac{3}{2}w^{12}-\frac{9}{10}w^{10}+w^{8}+\frac{1}{3}w^{6}+C_0$