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int(0)^(4)((y^(2)-4y+5)sin(y-2)dy)/([2y^...

`int_(0)^(4)((y^(2)-4y+5)sin(y-2)dy)/([2y^(2)-8y+1])` is equal to

A

0

B

2

C

`-2`

D

2

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The correct Answer is:
A
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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Single Option Correct Type Questions)
  1. int(0)^(4)((y^(2)-4y+5)sin(y-2)dy)/([2y^(2)-8y+1]) is equal to

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  2. Let f(x)=x^(2) +ax + b and the only solution of the equation f(x)= mi...

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  3. Ifint(pi/3)^xsqrt((3-sin^2t))dt+int0^ycostdt=0,t h e ne v a l u a t e(...

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  4. int(-4)^(4) (sin^(-1)( sinx)+ cos^(-1)(cos x))/((1+x^(2))(1+[(x^(2))/(...

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  5. The value of the definite integral int (0)^(infty) (dx)/((1+x^(a))(1...

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  6. The value of the definite integral overset(3pi//4)underset(0)int(1+x)s...

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  7. Let C(n)= int(1//n+1)^(1//n)(tan^(-1)(nx))/(sin^(-1) (nx)) dx , "then ...

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  8. If [int0^1(dt)/(t^2+2tcosalpha+1)]x^2-[int- 3^3(t^2sin2t)/(t^2+1)dt]x-...

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  9. If f(x) = e^(g(x)) and g (x) = int2 ^x dt/(1+t^4) then f' (2) is equa...

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  10. If a, b and c are real numbers, then the value of lim(t to 0) In ((1)/...

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  11. The value of lim(n to oo) sum(r=1)^(r=4n) (sqrtn)/(sqrt(r(3sqrtr+4sqrt...

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  12. Let f(x) =int-1^x e^(t^2) dt and h(x)=f(1+g(x)), where g (x) is define...

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  13. Let f(x) be a function satisfying f\'(x)=f(x) with f(0)=1 and g(x) be ...

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  14. Let f(x)=int0^g(x) dx/sqrt(1+t^2) where g(x) =int0^cosx (1+sint^2) dt....

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  15. For f(x) =x^(4) +|x|, let I(1)= int (0)^(pi)f(cos x) dx and I(2)= int(...

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  16. Let f be a positive function. If I1 = int(1-k)^k x f[x(1-x)]\ dx and I...

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  17. Suppose that the quadratic function f(x) = ax^(2) + bx +c is non-negat...

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  18. Let I (a) =int(0)^(pi) ((x)/(a)+ a sin x)^(2) dx, where 'a' is positiv...

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  19. The set of value of 'a' which satisfy the equation int0^2(t-log2a)dt...

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  20. lim(x rarr infty) (x^(3) int(-1//x)^(1//x)("In" (1+t^(2)))/(1+e^(t)) d...

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