Evaluate the definite integral. \int_{1}^{5}\frac{10x^{2}+7}{\sqrt{x}}dx

Cynthia Bell

Cynthia Bell

Answered question

2021-12-10

Evaluate the definite integral.
1510x2+7xdx

Answer & Explanation

Lynne Trussell

Lynne Trussell

Beginner2021-12-11Added 32 answers

Step 1
The given integral is
1510x2+7xdx
Step 2
Using integration by parts, evaluate the given integral as shown below:
1510x2+7xdx=[2x(10x2+7)40xxdx]15   (u=10x2,v=1x)
=[2x(10x2+7)16x52]15
=25(10(5)2+7)16(5)5221(10(1)2+7)+16(1)52
=114518
habbocowji

habbocowji

Beginner2021-12-12Added 22 answers

10x2+7xdx
Lets

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