   Chapter 13.6, Problem 29E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 25-30, select the formula or method (I-IV) that should be used to evaluate each integral. Then evaluate the integral.Integration by partsII. ∫ e u   d u III. ∫ d u u IV. ∫ u n   d u ∫ 4 0 t e t   d t

To determine

To calculate: The value of the integral 04tetdt.

Explanation

Given Information:

The provided integral is 04tetdt.

Formula used:

The formula for integration by parts is given by:

udv=uvvdu

Integration formula,

eudu=eu+C

Calculation:

Consider the provided integral:

04tetdt

To evaluate this integral, use the method of integration by parts.

Now to evaluate further, split the integrand into two parts

Set one part equal to u and another part equal to dv.

So, the values will be:

u=t

And,

dv=etdt

Now, differentiate the equation u=t,

du=dt

And integrate dv=etdt, by the use of the integral formula eudu=eu+C

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