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State which of the following is correct ...

State which of the following is correct :
If f(x) is a continuous function, then -

A

`int_(-2)^(2) f(x) dx=int_(0)^(2)[f(x)-f(-x)]dx`

B

`int_(-3)^(5)2f(x)dx=int_(-6)^(10) f(x-1)dx`

C

`int_(-3)^(5)f(x)dx=int_(-4)^(4) f(x-1)dx`

D

`int_(-3)^(5) f(x)dx= int_(-2)^(6) f(x-1)dx`

Text Solution

Verified by Experts

The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
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  2. If int(cos 4x+1)/(cotx-tan x) dx=k cos 4x+c, then the value of k is...

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  3. The value of integral int(dx)/(sin(x-a)sin(x-b)) is -

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  4. If an antiderivative of f(x) is e^(x) and that of g(x) is cosx, then ...

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  5. The value of int sqrt(e^(x)-1)dx is equal to -

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  6. If I(1)=int sin^(-1)x dx and I(2)=int sin^(-1) sqrt(1-x^(2)) dx th...

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  7. The value of int cos^(-(3)/(7)) x sin^(-(11)/(7)) x dx is equal to -

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  8. The value of int(0)^((pi)/(2)) (2^(sinx)dx)/(2^(sinx)+2^(cosx)) is eq...

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  9. The value of int((pi)/(6))^((pi)/(3)) (dx)/(1+sqrt(tan x)) is equal t...

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  10. The value of int(0)^(pi/2) (sin^(4)x dx)/(sin^(4)x+cos^(4)x) is equa...

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  11. State which of the following is correct : If f(x) is a continuous f...

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  12. The integrating factor of the linear differential equation (1-x^(2))^...

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  13. Let f(x)= (1-tanx)/(4x-pi) when 0 le x le (pi)/(2) and x ne (pi)/(4)...

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  14. The solution of the differential equation (x+y)(dx-dy)=dx+dy is -

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  15. The solution of the equation dy=cos x(2-y "cosec"x)dx, where y=(3)/(s...

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  16. The order of differential equations of all parabolas having directrix ...

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  17. The general solution of equation (dy)/(dx)+y= sinx is -

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  18. Solution of the differential equation (dy)/(dx)+sqrt((1-y^(2))/(1-x^(2...

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  19. The degree of the differential equation [1+((dy)/(dx))^(2)]^((3)/(4))...

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  20. Given f(0)=0 and f(x)=(1)/(1-e^(-(1)/(x))) for x ne 0 . Then the fun...

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