Integrals 4-Calculus-Assignment, Exercises of Calculus

Prof. Gangesh Kapadia assigned this task at Allahabad University for Calculus course. It includes: Integral, Respect, Time, Section, Trigonometric, Ratios, Problem, Solution

Typology: Exercises

2011/2012

Uploaded on 07/13/2012

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Name: Solution Registration Number: Solution
Assignment Quiz No. 7
Calculus-I Section-4
=====================================================================
Problem: Evaluate the integral
.
)12(cos
)12sin(
2
dx
x
x
Solution:
Let
.
)12(cos
)12sin(
2
dx
x
x
I
.
)12cos(
)12sin(
)12cos(
1
dx
x
x
x
I
dxxx 2).12tan()12sec(
2
1
)))(sec()())(tan())(sec((.)12sec(
2
1/CxfdxxfxfxfCx
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Name: Solution Registration Number: Solution

Assignment Quiz No. 7

Calculus-I Section-

Problem: Evaluate the integral

cos ( 2 1 )

sin( 2 1 )

dx x

x

Solution:

Let.

cos ( 2 1 )

sin( 2 1 )

dx x

x I

cos( 2 1 )

sin( 2 1 )

cos( 2 1 )

  dx x

x

x

I

  sec( 2 x  1 )tan( 2 x  1 ). 2 dx

sec( 2 1 ). ( sec( ( ))tan( ( )) ( ) sec( ( )) ) 2

x   C f x f x f xdxf xC

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