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The value of lim(x->0) ( int0 ^ (x^2) co...

The value of `lim_(x->0) ( int_0 ^ (x^2) cost^2 dt)/( xsin x)` is

A

1

B

`-1`

C

2

D

`log_(e)2`

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

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

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

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

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

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

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

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

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

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

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

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

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