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Solution to Quiz 8 in Calculus-I: Evaluating Integrals, Exercises of Calculus

Chennai Mathematical InstituteCalculus

The solution to quiz 8 in calculus-i, focusing on the evaluation of integrals. The solution involves breaking down the integral into parts and applying the fundamental theorem of calculus. Students can use this document as a reference to check their answers or understand the solution to a specific problem.

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

saen.chumi
saen.chumi 🇮🇳

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Name: Solution Registration Number: Solution
Quiz No. 8
Calculus-I Section-1
=====================================================================
Problem: Evaluate the integral
.
22
1
dx
xx
Solution:
Let
dx
xx
I22
1
dx
xx
I2
1
.
1
1
dx
x
x
I1
2
1
Cxfdx
xf
xf
CxI )(ln
)(
)(
1ln /
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Download Solution to Quiz 8 in Calculus-I: Evaluating Integrals and more Exercises Calculus in PDF only on Docsity!

Name: Solution Registration Number: Solution

Quiz No. 8

Calculus-I Section-

Problem: Evaluate the integral

dx x x

Solution:

Let 

dx x x

I

  dx x x

I

  dx x

x I 1

dx f x C f x

f x I x C ln ( ) ( )

ln 1

/ 

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