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Evaluate the following: int(-1)^(1)(sin ...

Evaluate the following: `int_(-1)^(1)(sin x-x^(2))/(3-|x|)dx`

A

0

B

`int_0^(sinx)/(3-|x|)dx`

C

`2int_0^1(-x^2)/(3-|x|)dx`

D

`2int_0^1(sinx-x^2)/(3-|x|)dx`

Text Solution

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The correct Answer is:
C
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BITSAT GUIDE-DEFINITE INTEGRALS AND ITS APPLICATIONS-BITSAT Archives
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  3. If int0^25e^(x-[x])dx=k(e-1), then the value of k is equal to

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  4. The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y), where x,yg...

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  5. int(1)^(10pi)([sec^(-1)x]+[cot^(-1)x])dx, where [.] denotes the greate...

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  6. Determine the area of the figure bounded by two branches of the curve ...

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  7. int0^(pi//2)(sin^ntheta)/(sin^ntheta+cos^ntheta)dtheta is equal to

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  8. int0^(pi) cos^(101)x dx is equal to

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  9. underset(nrarroo)lim[1/(n+1)+1/(n+1)+...+1/(6n)] equals

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  10. If d/(dx){phi(x)}=f(x)," then "int1^2f(x)dx is equal to

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  11. int0^2|1-x|dx is equal to

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  12. The area bouded by X-axis and the curve y -= sinx and x = 0, x=pi is

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  13. int0^1|5x-3|dx

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  14. The area of the region bounded by y=|x-1| and y =1 is

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  15. int (-1)^(2) |x|^(3) dx is equal to

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

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

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  18. int0^8|x-5|dx is equal to

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  19. If l1=int0^12^xdx,l2=int0^12^(x^3)dx,,l3=int1^22^(x^2)dx,l4=int1^22^(x...

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  20. The area of the region satisfying xle2,yle|x| and xge0 is

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  21. int0^(pi//4)log(1+tanx)dx is equal to

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