Solution to Quiz 7 in Calculus-I: Evaluating Integrals, Exercises of Calculus

The solution to quiz 7 problem 1 in the calculus-i course, which involves evaluating the integral ∫(−x³/x²) dx. The solution is presented in the form of an integral, which is evaluated using substitution and integration by parts.

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

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Name: Solution Registration Number: Solution
Quiz No. 7
Calculus-I Section-3
=====================================================================
Problem: Evaluate the integral
.
12
5
dx
x
x
Solution:
Let .
12
5
dx
x
x
I
.
1
.
12
2
dx
x
x
x
I
dx
x
x2
2
111
2
)
1
))((
)())(((.
1
2
3
21
/
2
3
C
n
xf
dxxfxfC
x
n
n
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Name: Solution Registration Number: Solution

Quiz No. 7

Calculus-I Section-

Problem: Evaluate the integral

dx x

x

Solution:

Let.

dx x

x I

  dx x x

x I

  dx x x

2

2

1 1 1 2

1 /

2

3

C

n

f x C f x f xdx x

n n  

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