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The value of int(-4)^(4) [ tan^(-1)((x^...

The value of `int_(-4)^(4) [ tan^(-1)((x^(2))/( x^(4)+1)) +tan^(-1) ((x^(4)+1)/( x^(2))) ] dx ` is

A

`pi`

B

`2pi`

C

`3pi`

D

`4pi`.

Text Solution

Verified by Experts

The correct Answer is:
D
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PREMIERS PUBLISHERS-APPLICATIONS OF INTEGRATION-SOLUTION TO EXERCISES 9.10
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  4. The value of int(-(pi)/(2)) ^((pi)/(2)) sin^(2) x cos x dx is

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  5. The value of int(-4)^(4) [ tan^(-1)((x^(2))/( x^(4)+1)) +tan^(-1) ((x...

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  7. If f(x) = int(0)^(x) t cos t dt, then (df)/(dx)

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  12. The value of int(0)^((pi)/(6)) cos ^(3) 3x dx

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  13. The value of int(0)^(pi) sin^(4) x dx is

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  14. The value of int(0)^(oo) e^(-3x) x^(2) dx is

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  15. If int(0)^(a) = ( 1)/( 4+x^(2))dx = ( pi)/( 8) then a is

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  16. The volume of solid of revolution of the region bounded by y^(2)= x( a...

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  17. If f(x) = int(1)^(x) ( e^(sinx )) /( u) du, x gt 1 and int(1)^(3) ( ...

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  18. The value of int(0)^(1) (sin^(-1) x ) ^(2) dx is

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  19. The value of int(0)^(a) ( sqrt(a^(2) -x^(2))) dx is

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  20. If int(0)^(x) f ( t) dt = x + int(x)^(1) tf (t) dt , then the value of...

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