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The value of int(0)^(oo) (x dx)/((1+x)(...

The value of `int_(0)^(oo) (x dx)/((1+x)(1+x^(2)))` is equal to -

A

`(pi)/(2)`

B

0

C

`(pi)/(4)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 6
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  2. If I(n)=int (logx)^(n)dx, then the value of (I(n)+nI(n-1)) is -

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  3. The value of int(0)^(oo) (x dx)/((1+x)(1+x^(2))) is equal to -

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  4. The value of int (e^(x)dx)/((e^(x)+2)(e^(x)+1)) is equal to -

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  5. The value of int(dx)/(cosx-sinx) is equal to -

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  6. The value of int(0)^((pi)/(2)) ((sinx+cosx)^(2))/(sqrt(1+sin2x))dx is ...

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  7. If int(0)^(pi) x f(sinx) dx=A int(0)^((pi)/(2))f(sinx)dx, then the va...

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  8. The value of int ((x-x^(3))^((1)/(3)))/(x^(4)) dx is equal to -

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  9. The value of int e^(x log a)*e^(x)dx is equal to -

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  10. The value of int(-(pi)/(4))^((pi)/(4)) x^(3) sin^(4) x dx is equal to...

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  11. If f(x)=cosx-cos^(2)x+cos^(3)x-…oo, then the value of int f(x) dx is...

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  12. The value of int(0)^(1)(xdx)/((x+sqrt(1-x^(2)))sqrt(1-x^(2))) is equal...

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  13. The value of int(0)^(2a) (f(x))/(f(x)+f(2a-x))dx is equal to -

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  14. The value of int{(logx-1)/(1+(logx)^(2))}^(2)dx is equal to -

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  15. The value of int(pi)^(2pi)[ 2 cos x]dx is equal to -

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  16. The order and degree of the differential equation [1+((dy)/(dx))^(2)]...

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  17. The differential equation of the system of circles touching the y-axi...

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  18. The integrating factor of the differential equation cosx(dy)/(dx)+y si...

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  19. The general solution of y^(2)dx+(x^(2)-xy+y^(2))dy=0 is -

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  20. The general solution of the linear differential equation "cos"^(2)x (...

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