Solution to Calculus-I Assignment Quiz 6, Problem 2: Integration, Exercises of Calculus

The solution to problem 2 of assignment quiz 6 in the calculus-i course. The problem involves evaluating the integral ∫(x^3 - x^2) dx. The solution is presented in the form of an integral and includes the constant of integration.

Typology: Exercises

2011/2012

Uploaded on 07/13/2012

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Name: Solution Registration Number: Solution
Assignment Quiz No. 6
Calculus-I Section-4
=====================================================================
Problem: Evaluate the integral
.
2
dx
x
xxx
Solution:
Let
dx
x
xxx
I2
dx
x
x
x
xx
I)( 22
dxxx )( 2
3
2
1
C
xx
2
1
2
1
2
1
2
1
.
2
2C
x
x
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Name: Solution Registration Number: Solution

Assignment Quiz No. 6

Calculus-I Section-

Problem: Evaluate the integral

dx x

x x x

Solution:

Let

dx x

x x x I 2

   dx x

x

x

x x I ( ) 2 2

   ( xx^2 ) dx

3 2

1

C

x x  

2

1 2

1

2 C

x

x  

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