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Solution to Calculus-I Assignment Quiz No. 7, Problem 3: Evaluating the Integral, Exercises of Calculus

University of AllahabadCalculus

The solution to problem 3 of assignment quiz no. 7 in the calculus-i course, which involves evaluating the integral ∫x^3 cos(x^2) dx. The solution is presented in a step-by-step format, with the use of integration by parts and the definite integral.

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. 7
Calculus-I Section-3
=====================================================================
Problem: Evaluate the integral
.)3cos(
1
dxx
x
Solution:
Let .)3cos(
1
dxx
x
I
.
2
1
).3cos(2 dx
x
xI
)))(sin()())(cos((.)1sin(2 /CxfdxxfxfCx
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Download Solution to Calculus-I Assignment Quiz No. 7, Problem 3: Evaluating the Integral and more Exercises Calculus in PDF only on Docsity!

Name: Solution Registration Number: Solution

Assignment Quiz No. 7

Calculus-I Section-

Problem: Evaluate the integral

cos( 3 ).

 x ^ dx

x

Solution:

Let cos( 3 ).

  x  dx

x

I

  2  cos(  3 ). dx

x

I x

 2 sin( x  1 ) C. (cos( f ( x )) f /^ ( x ) dx sin( f ( x )) C )

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