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If An be the area bounded by the curve y...

If `A_n` be the area bounded by the curve `y=(tanx)^n` and the lines `x=0,\ y=0,\ x=pi//4` , then for `n > 2.`

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RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Self practive problem
  1. If the area bounded by f(x)=sqrt(tan x), y=f(c), x=0 and x=a, 0ltcltal...

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  2. Find the area included between the parabolas x=y^(2) and x = 3-2y^(2).

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  3. If An be the area bounded by the curve y=(tanx)^n and the lines x=0,\ ...

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  4. If int(1)^(x) (dt)/(|t|sqrt(t^(2)-t)) = (pi)/(6), then x can be equal ...

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  5. The value of the integral int(0)^(1)(dx)/(x^(2)+2x cos alpha +1),0ltal...

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  6. If f(x)={{:(x,xlt1),(x-1,xge1):}, then underset(0)overset(2)intx^(2)f(...

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  7. If f(0) = 1 , f(2) = 3, f'(2) = 5 and f'(0) is finite, then int(0)^(1...

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  8. int(0)^(pi)|1+2cosx| dx is equal to :

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  9. The value of int(1)^(3) (|x-2|+[x])dx is ([x] stands for greatest inte...

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  10. The value of int(0)^(infty)[2e^(-x)] dx (where ,[.] denotes the greate...

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  11. int(lnpi-ln2)^(lnpi) (e^(x))/(1-cos(2/3e^(x))) dx is equal to

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  12. If I(1)=int(e)^(e^(2))(dx)/(lnx) and I(2) = int(1)^(2)(e^(x))/(x) dx(1...

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  13. int(0)^(pi/4)(x.sinx)/(cos^(3)x) dx equal to :

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  14. The value if definite integral int(3/2)^(9/4)[sqrt(2x-sqrt(5(4x-5)))+s...

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  15. Ifint(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equal to" (a)4 ...

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  16. int(0)^(oo)(x^(2)+1)/(x^(4)+7x^(2)+1)dx=

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  17. Suppose for every integer n, .int(n)^(n+1) f(x)dx = n^(2). The value o...

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  18. If f(x) and g(x) are continuous functions, then int(In lamda)^(In (1//...

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  19. int- 1^1cot^(- 1)((x+x^3)/(1+x^4))dx

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  20. int(-2)^(0){x^(3)+3x^(2)+3x+3+(x+1)cos(x+1)} dx is equal to

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