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If af(x)+bf((1)/(x))=(1)/(x)-5,x ne 0,a ...

If a`f(x)`+b`f((1)/(x))=(1)/(x)-5,x ne 0,a ne b`, then `overset(2)underset(1)int f(x)dx` equals

A

`(b-9a)/(9(a^(2)-b^(2)))`

B

`(b-9a)/(b(a^(2)-b^(2)))`

C

`(b-9a)/(6(a^(2)-b^(2)))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
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  3. If af(x)+bf((1)/(x))=(1)/(x)-5,x ne 0,a ne b, then overset(2)underset(...

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  7. overset(pi)underset(0)int (1)/(1+3^(cosx)) dx is equal to

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  8. Let I=int(-a)^(a) (p tan^(3) x + q cos^(2)x + r sin x)dx, where p, q, ...

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  9. The value of int(0)^(100)[tan^(-1)x]dx is, (where [.] denotes greatest...

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  10. The number of value of alpha in the interval [-pi,0] satisfying sin...

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  11. The value of the integral overset(e )underset(1//e)int |logx|dx, is

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  12. The value of int(-1)^(10) sgn (x-[x])dx is equal to (where, [.] denote...

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  13. If f(x)=ax^(3)+bx^(2)+cx have relative extrema x = 1 and at x = 5. If...

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  14. I1=int0^(pi/2)(sinx-cosx)/(1+sinxcosx)dx ,I2=int0^(2pi)cos^6xdx ,I3=in...

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  15. int(1)^(10pi)([sec^(-1)x]+[cot^(-1)x])dx, where [.] denotes the greate...

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  16. Evaluate int(cos(cos ^(-1) alpha))^(sin(sin^(-1)beta))|(cos (cos^(-1)x...

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  17. Evaluate : int0^(pi/4)(sinxcosx)/(sin^4x+cos^4x)\ dx

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  18. If I(n)=overset(pi//4)underset(0)int tan ^(n) x dx, lim(n to oo) n(I(n...

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  19. int(-pi)^(pi) ( e^(sin x ))/( e^(sinx) + e^(-sinx))dx is equal to

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  20. If I=int-1^1 ([x^2]+log((2+x)/(2-x)))dx where denotes the greatest i...

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