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Find the area bounded by the curves y=-x...

Find the area bounded by the curves `y=-x^2+6x-5,y=-x^2+4x-3,` and the straight line `y=3x-15a n d` lying right to `x=1.`

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The correct Answer is:
`73/6` sq. units
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RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Self practive problem
  1. Find the area of the region bounded by the curves y=x-1\ a n d\ (y-1)^...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Evaluate : int(0)^(pi) (dx)/(5+4cosx)

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  17. Evaluate : int(0)^(pi) (dx)/(5+4cosx) . a) π b) π/2 c) π/3 d) π/4

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  18. Evaluate : (i) int(-1)^(2){2x}dx (where function{*} denotes fraction...

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  19. It is known that f(x) is an odd function and has a period p. Prove tha...

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  20. (i) If f(x) = int(0)^(sin^(2)x)sin^(-1)sqrt(t)dt+int(0)^(cos^(2)x)cos^...

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