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(r2 +2000)7 dr

Question

Evaluate the following integrals:

 

(r2 +2000)7 dr
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(r2 +2000)7 dr

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check_circleAnswer
Step 1

Let z=x^2+2000

Differentiate both sides.

dz= 2xdx

So, dx=dz/(2x)

z=x2+2000
dz 2xdx
dz
dx=.
2x
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z=x2+2000 dz 2xdx dz dx=. 2x

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Step 2

Then substitute z and dz in the given equation and integrate using power ...

x(x+2000) "dx
-xe
dz
2x
f(2)"dz
z18
-+c\
18
1
2
18
Z
-+c
36
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x(x+2000) "dx -xe dz 2x f(2)"dz z18 -+c\ 18 1 2 18 Z -+c 36

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Tagged in

Math

Calculus

Integration

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