`int_0^3 (1 + 6w^2 - 10w^4) dw` Evaluate the integral

Textbook Question

Chapter 5, 5.4 - Problem 24 - Calculus: Early Transcendentals (7th Edition, James Stewart).
See all solutions for this textbook.

1 Answer | Add Yours

tiburtius's profile pic

tiburtius | High School Teacher | (Level 2) Educator

Posted on

We will use linearity of integral: `int(a cdot f(x)+b cdot g(x))dx=a int f(x)dx+b int g(x)dx.`

`int_0^3(1+6w^2-10w^4)dw=int_0^3dw+6int_0^3w^2dw-10int_0^3w^4dw=`

`w|_0^3+6w^3/3|_0^3-10w^5/5|_0^3=3-0+54-0-486+0=-429` <-Solution         

         

     

We’ve answered 318,913 questions. We can answer yours, too.

Ask a question