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Compute the area of the figure bounded b...

Compute the area of the figure bounded by the straight lines `x=0,x=2` and the curves`y=2^x ,y=2x-x^2dot`

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The correct Answer is:
`(a^(9))/(9)`
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RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Self practive problem
  1. Find the area bounded by the y-axis and the curve x = e^(y) sin piy b...

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  2. The area bounded by (x^(2))/(16) + (y^(2))/(9) = 1 and the line 3x + 4...

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  3. Compute the area of the figure bounded by the straight lines x=0,x=2...

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  4. If the area bounded by f(x)=sqrt(tan x), y=f(c), x=0 and x=a, 0ltcltal...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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