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Solution to Calculus-I Assignment Quiz 6: Integration of cos(x), Exercises of Calculus

University of AllahabadCalculus

The solution to problem 6 of calculus-i assignment quiz, which involves evaluating the integral of cos(x) with respect to x. The solution is presented in a step-by-step manner, allowing students to understand the process of integration.

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-1
=====================================================================
Problem: Evaluate the integral
.cos
7
12
xdx
Solution:
Let
xdxI 2
cos
7
1
xdxI 2
cos2
14
1
dxx)2cos1(
14
1
xdxdx 2cos
14
1
1
14
1
dxxx 2.2cos
28
1
14
1
)))(sin()())(cos((.2sin
28
1
14
1/CxfdxxfxfCxx
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Download Solution to Calculus-I Assignment Quiz 6: Integration of cos(x) 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. 7

 xdx

Solution:

Let I   xdx

2 cos 7

Ixdx

2 2 cos 14

  ( 1 cos 2 x ) dx

  dx  cos 2 xdx

 x  cos 2 x. 2 dx

sin 2. ( cos( ( )) ( ) sin( ( )) ) 28

xxC f x f xdxf xC

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