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Evaluating Integral of cot(x)cos(2x) in Calculus-I Quiz 6, Problem 6, Exercises of Calculus

University of AllahabadCalculus

The solution to problem 6 of assignment quiz 6 in the calculus-i course, which involves evaluating the integral of the function cot(x)cos(2x). The solution is presented in a step-by-step format, with the integral being split into two parts and evaluated separately.

Typology: Exercises

2011/2012

Uploaded on 07/13/2012

juma.khan
juma.khan 🇮🇳

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Name: Solution Registration Number: Solution
Assignment Quiz No. 6
Calculus-I Section-3
=====================================================================
Problem: Evaluate the integral
.)cotcos(cos
2
12
dxxecxxec
Solution:
Let dxxecxxecI )cotcos(cos
2
12
xdxecxxdxecI cotcos
2
1
cos
2
12
.cos
2
1
cot
2
1Cecxx
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Download Evaluating Integral of cot(x)cos(2x) in Calculus-I Quiz 6, Problem 6 and more Exercises Calculus in PDF only on Docsity!

Name: Solution Registration Number: Solution

Assignment Quiz No. 6

Calculus-I Section-

Problem: Evaluate the integral

(cos cos cot ). 2

 ecx ^ ecx xdx

Solution:

Let I   (cos ec x cos ecx cot x ) dx

Iec xdx  cos ecx cot xdx 2

cos 2

cos. 2

cot 2

 xecxC

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