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Let f: RvecR be a continuous function wh...

Let `f: RvecR` be a continuous function which satisfies `f(x)=` `int_0^xf(t)dtdot` Then the value of `f(1n5)` is______

A

0

B

2

C

5

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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MTG-WBJEE-DEFINITE INTEGRALS-WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)
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  2. Let f(x) denote the fractional part of a real number x. Then the value...

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  3. Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...

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  4. lim(nrarroo)(sqrt1+sqrt2+…+sqrt(n-1))/(nsqrtn)=

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  5. int0^1log(1/x-1)dx is equal to

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  6. Estimate the absolute value of the integral int(10)^(19)(sinx)/(1+x^8)...

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  7. L e tI1=int0^n[x]dxandI2=int0^n{x}dx ,where [x] and {x} are integral a...

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  8. The value of the integral overset(1)underset(0)int e^(x^(2))dx lies in...

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  9. int0^1000 e^(x-[x])dx

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  10. If M=int(0)^((pi)/2)(cosx)/(x+2)dx and N=int(0)^((pi)/4)(sinxcosx)/((x...

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  11. The value of the integral I = int(1//2014)^(2014)(tan^(-1) x)/x dx is

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  12. Let I=int(pi//4)^(pi//3)(sinx)/(x)dx. Then

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  13. The value of I=int(pi//2)^(5pi//2)(e^(tan^(-1)(sinx)))/(e^(tan^(-1)(si...

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  14. The value of lim(nrarroo)(1)/(n)[sec^(2)""(pi)/(4n)+sec^(2)""(2pi)/(4n...

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  15. The value of the integratio int(-pi//4)^(pi//4)(lambda|sinx|+(mu sinx)...

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  16. lim(x->0) 1/x [int(y->a)e^(sin^2t) dt-int(x+y->a)e^(sin^2t)dt] is equa...

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  17. The value of the integral int(-1)^(1){(x^(2015))/(e^(|x|)(x^(2)+cosx))...

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  18. Let [a] denote the greatest integer which is less than or equal to a. ...

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  19. The value of the integral int(pi//6)^(pi//2)((sinx-xcosx))/(x(x+sinx))...

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  20. If [x] denotes the greatest integer less than or equal to x , then fin...

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