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Solution to Quiz 6 in Calculus-I: Evaluating the Integral 3tan(4) dx, Exercises of Calculus

Chennai Mathematical InstituteCalculus

The solution to quiz 6 problem in calculus-i, which involves evaluating the integral of 3tan(4) dx. The solution is presented step by step, starting with the integration by parts formula and applying it to the given integral.

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

saen.chumi
saen.chumi 🇮🇳

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Name: Solution Registration Number: Solution
Quiz No. 6
Calculus-I Section-1
=====================================================================
Problem: Evaluate the integral
.4tan3 2
xdx
Solution:
Let
xdxI 4tan3 2
xdxI 4tan3 2
dxx )14(sec3 2
dxxdx 134sec3 2
xdxx 34.4sec
4
32
)))(tan()())((sec(.34tan
4
3/2 CxfdxxfxfCxx
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Download Solution to Quiz 6 in Calculus-I: Evaluating the Integral 3tan(4) dx and more Exercises Calculus in PDF only on Docsity!

Name: Solution Registration Number: Solution

Quiz No. 6

Calculus-I Section-

Problem: Evaluate the integral

3 tan 4.

2

 xdx

Solution:

Let I   3 tan 4 xdx

2

I  3 tan 4 xdx

2

 3 (sec 4 x  1 ) dx

2

 3  sec 4 xdx  3  1 dx

2

sec 4 x. 4 dx 3 x 4

tan 4 3. ( sec ( ( )) ( ) tan( ( )) ) 4

xxC f x f xdxf xC

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