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The equation of tangent to the curve `y= int_(x^(2))^(x^(3)) (dt)/(sqrt(1+t^(2)))` at x=1 is equal to

A

`x sqrt3- y + (sqrt3+1) =0`

B

`x sqrt3-y+ 1=0`

C

`x-y sqrt2 -1=0`

D

None of these

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The correct Answer is:
C
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ML KHANNA-DEFINITE INTEGRAL-Problem set (5) (Multiple Choice Questions)
  1. Let f(x)= int(1)^(x) sqrt(2-t^(2)) dt. Then the real roots of the equa...

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  2. lim(x rarr 0) (1)/(x) [int(y)^(a) e^(sin^(2)t) dt- int(x+y)^(a) e^(sin...

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  3. The equation of tangent to the curve y= int(x^(2))^(x^(3)) (dt)/(sqrt(...

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  4. If x= int(0)^(y) (dt)/(sqrt(1+9t^(2))) then (dy)/(dx) is equal to

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  5. If f(x)= int(x)^(x^(2)) (dt)/(1+ t^(3)), then f'(2)=

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  6. If f(x) = int(1//x^(2))^(2) cos sqrtt dt then f'(1) is equal to

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  7. If int(sin x)^(1) t^(2) f(t) dt =1- sin x, x in (0, (pi)/(2)) then f((...

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  8. If f(x)= int(x^(2))^(x^(3)) (dt)/(log t), x gt 0 then

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  9. Let f:(0, oo) in R and F(x) =underset(0)overset(x) int f(t) dt. If F(x...

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  10. If int(0)^(t^(2)) xf (x) dx= (2)/(5) t^(5), then f(4/25)=

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  11. The integral int(0)^(2) (|x+2|)/(x+2)dx is equal to

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  12. int(-3)^(3) (x-4)/((|x-4|))dx=

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  13. The value of overset(sin^(2)x)underset(0)int sin^(-1)sqrt(t)dt+overs...

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  14. If int(pi//3)^(x) sqrt(3-2sin^(2)u) du + int(0)^(y) cos t dt= 0, then ...

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  15. The points of extremum of the function F(x)= int(1)^(x) e^(-t^(2)) (1-...

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  16. The points of extemum of f(x)= int(0)^(x^(2)) (t^(2)- 5t +4)/(2+e^(t))...

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  17. If int(0)^(x) f(t) dt= x + int(x)^(1) t f(t) dt, then the valeu of f(1...

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  18. If int(0)^(t) (bx cos 4x- a sin 4x)/(x^(2)) dx= (a sin 4t)/(t)-1, wher...

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  19. Lt(x rarr 0)(int(0)^(x^(2)) (tan^(-1) t)^(2) dt)/(int(0)^(x^(2)) (sin ...

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  20. The value of the integral overset(b)underset(a)int (|x|)/(x)dx, a lt b...

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