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Prof. Maitreya Sawhney took quiz for Calculus during class at Chennai Mathematical Institute. This is solution he provided latter. It includes: Integral, Variables, First, Order, Integrate, Trignometric, Function, Respect, Time
Typology: Exercises
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Name: Solution Registration Number: Solution
2 ln
dx
x x
dx x x
2 ln
dx x
I x
[ln( )]. 2
2
1
Notice that
x
x dx
d 1 ln( )
xdx dx
d I [ln( x )]. ln( ) 2
2
1
C n
f x C f x f xdx
x I
n n
1
[ln( )]
1 /
2
1
I ln( x ) C.