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The integral int(2)^(4)(logx^(2))/(logx^...

The integral `int_(2)^(4)(logx^(2))/(logx^(2)+log(36-12x+x^(2))) dx` is equal to

A

2

B

4

C

1

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Main (Archive)
  1. The integral int(2)^(4)(logx^(2))/(logx^(2)+log(36-12x+x^(2))) dx is e...

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  2. The integral int(0)^(pi)sqrt(1+4"sin"^(2)x/2-4"sin"x/2)dx is equals to...

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  3. The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...

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  4. T h ev a l u eofint(sqrt(1n2))^(sqrt(1n3))(xsinx^2)/(sinx^2+sin(1n6-x^...

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  5. int(-2)^(0){x^(3)+3x^(2)+3x+3+(x+1)cos(x+1)} dx is equal to

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  6. The value of integral int(0)^(1)sqrt((1-x)/(1+x))dx is

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  7. The integral int(-1/2)^(1/2) ([x]+1n((1+x)/(1-x)))dx is equal to (wher...

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  8. Find the value of int(-pi)^(pi)(cos^(2)x)/(1+a^(x))dx, agt0.

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  9. If f(x)={e^(cosxsinx ,for|x|lt=2)2,ot h e r w i s e ,t h e nint(-2)^3f...

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  10. The value of the integral int (e ^(-1))^(e ^(2))|(ln x )/(x)|dx is:

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  11. int(pi //4)^(3pi//4) (dx)/( 1+ cosx) is equal to

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  12. T h ev a l u eofint0^(pi/2)(dx)/(1+tan^3x)i s 0 (b) 1 (c) pi/2 (d...

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  13. Evaluate the following integral: int0^(pi//2)(sqrt(cotx))/(sqrt(cotx\ ...

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  14. Let T >0 be a fixed real number. Suppose f is continuous function such...

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  15. The intercepts on x- axis made by tangents to the curve, y=int(0)^(x)|...

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  16. Ifint(sinx)^1t^2f(t)dt=1-sinx ,w h e r e .x in (0,pi/2), then find th...

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  17. If f(x) is differentiable and int0^(t^2) x f(x) dx=2/5t^5, then f(4/(2...

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  18. If f(x)=int(x^2)^(x^2+1)e^(-t^2)dt , then f(x) increases in

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  19. If I(m,n)=int0^1 t^m(1+t)^n.dt, then the expression for I(m,n) in term...

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  20. Let f(x)=int(1)^(x) sqrt(2-t^(2)) dt, then the real roots of the equa...

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