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The area (in sq. units) of the region bo...

The area (in sq. units) of the region bounded by `x=-1,x=2,y=x^2+1 and y=2x-2` is

A

10

B

7

C

8

D

9

Text Solution

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The correct Answer is:
D
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SIA PUBLICATION-DEFINITE INTEGRALS-PROBLEMS
  1. By the definition of the definite integral, the value of underset(n-oo...

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  2. int(0)^(pi//6) cos^4 3 theta.sin^2 6 theta d theta equals to

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  3. The area (in sq. units) of the region bounded by x=-1,x=2,y=x^2+1 and ...

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  4. int(0)^(b) (dx)/(1+x^2)= int(b)^(oo) (dx)/(1+x^2), then b is equal to

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  5. The area (in sq. units) bounded by the curves x=-2y^2 and x=1-3y^2 is

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  6. If a gt0, then int(-pi)^(pi) (sin^2 x)/(1+a^x)dx is equal to

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  7. The area (in sq. units) bounded by the curves y^2 = 4x and x^2= 4y is

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  8. The area (in square units) of the region bounded by the curves x=y^2 a...

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  9. If I(a) = int(0)^(pi//4) tan^(n) theta d theta for n=1,2,3,…, then I(n...

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  10. If I(n) = int(0)^(pi//2) tan^(n) xdx, then I2 + I4, I3+I5,I4 + I6,…., ...

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  11. The area (in square units) of the region enclosed by the two circles x...

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  12. int(0)^(pi) (1)/(1+sinx)dx is equal to

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  13. The line x=(pi)/(4) divides the area of the region bounded by y=sinx, ...

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  14. int(0)^(1) x^(3//2) sqrt(1-x) dx is equal to

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  15. int(-pi//2)^(pi//2) sin|x| dx is equal to

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  16. The area (in sq unit) of the region bounded by the curves 2x=y^2 -1 an...

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  17. If f(t) = int(-t)^(t) (e^(-|x|))/(2) dx, then underset(t to oo)(lim) f...

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  18. int(0)^(2x) sin^6 x cos^5 x dx is equal to

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  19. The area (in sq. unit) of the region enclosed by the curves y=x^2 and ...

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  20. int(0)^(pi//2) (dx)/(1+tan^3 x) is equal to

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