# What is int_0^1x^4dx?

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(A) Find #int_0^1x^4dx# , Draw an appropriate sketch

(A) Find

##### 1 Answer

Mar 13, 2018

#### Explanation:

First, we compute the indefinite integral:

According to the power rule,

Here, since

We take this to the bounds of

So the area under the curve is

Sketching:

graph{x^4 [-1.208, 1.829, -0.365, 1.154]}

It makes sense.