use integration by parts to find the definite integral int^(1_0) xe^(0.2x) dx

Asked on by yourju18

1 Answer | Add Yours

embizze's profile pic

embizze | High School Teacher | (Level 2) Educator Emeritus

Posted on

Evaluate `int_0^1xe^(.2x)dx` :

Since `e^(.2x)` is more complicated, and we know its antiderivative, use the following substitutions:

`u=x`            `dv=e^(.2x)`

`du=dx`          `v=inte^(.2x)dx=5e^(.2x)`

Then `intudv=uv-intvdu` so:







The graph :

As you see, the area under the graph appears to be a little more than 1/2.


We’ve answered 319,816 questions. We can answer yours, too.

Ask a question