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Find the area of the region bounded by t...

Find the area of the region bounded by the x-axis and the curves defined by `y=tan x ("where "-(pi)/(3)lexle (pi)/(3)) and y=cot x ("where "(pi)/(6)le x le (3pi)/(2)).`

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The correct Answer is:
`ln'(3)/(2)`
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RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Self practive problem
  1. Find the area between the x-axis and the curve y = sqrt(1+cos4x), 0 ...

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  2. What is geometrical significance of (i) int(0)^(pi) |cosx| dx, (ii) ...

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  3. Find the area of the region bounded by the x-axis and the curves defin...

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  4. Find the area bounded by the curves x = y^(2) and x = 3-2y^(2).

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  5. Find the area bounded by the curve y = x^(2) - 2x + 5, the tangent to ...

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  6. Find the area of the region bounded by the curves y=x-1\ a n d\ (y-1)^...

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  7. Find the area of the region lying in the first quadrant and included b...

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  8. Find the area bounded by the curves y=-x^2+6x-5,y=-x^2+4x-3, and the s...

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  9. sin^(-1)(sin((8pi)/5))

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  10. Find the area bounded by the curves x = |y^(2)-1| and y = x- 5

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  11. Find the area of the region formed by x^2+y^2-6x-4y+12 le 0. y le x an...

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  12. Evaluate : (i) int(0)^(1)(3sqrt(x^(2))-4sqrt(x))/(sqrt(x))dx , (ii) ...

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  13. Evaluate : (i) int(-oo)^(oo) (dx)/(x^(2)+2x+2) , (ii) int(sqrt(2))^(...

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  14. Evaluate : (i) int(0)^(1)sin^(-1)xdx , (ii) int(1)^(2)(lnx)/(x^(2))d...

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  15. Evaluate : (i) underset(0)overset(1)intsin^(-1)xdx , (ii) underset(1...

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  16. Integrate 1/(1+x2) for limit [0,1].

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  17. Evaluate : int( (dx)/(e^(x)+e^(-x)) )

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  18. Let f(x) = ln ((1-sinx)/(1+sinx)), then show that int(a)^(b) f(x)dx =...

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  19. Evaluate : int(0)^(pi)sqrt(1+sin2x)dx .

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  20. Evaluate : int(-1)^(1)e^(x)dx

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