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Evaluate oversetlimunderset(xrarr0)"(und...

Evaluate `oversetlimunderset(xrarr0)"(underset0overset(x^2)intsinsqrttdt)/x^3`.

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Evaluate int sqrt(tanx)/(sinxcosx).

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  2. Evaluate underset(0)overset(1)int(x^2)/(x^2+1)dx.

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  3. Evaluate oversetlimunderset(xrarr0)"(underset0overset(x^2)intsinsqrttd...

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  4. Evaluate underset(0)overset(pi//2)intxsinxdx.

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  5. Evaluate underset(-1)overset(3)int{|x|+[x]}dx.

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  6. Evaluate underset(-3)overset3int|x+1|dx.

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  7. underset(0)overset(10)intsin(x-[x])pidx

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  8. If f(x)=underset(1)overset(x^2)inttan^(-1)sqrttdt,tgt0, find f' (1).

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  9. f(x)=1/x^2underset(2)overset(x)int[t^2+f(t)]dt, find f (2)

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  10. If f(x)=cosx-underset(0)overset(x)int(x-1)f(t)dt, then find f''(x)+f(x...

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  11. Evaluate I=underset(0)overset(4)int[sqrtx]dx.

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  12. Evaluate underset(0)overset(pi//2)int(cosxdx)/((2-sinx)(3+sinx)).

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  13. Evaluate underset(0)overset(5)intsqrt(25-x^2dx)

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  14. Evalaute underset(3)overset(6)intsqrt(x)/(sqrt(9-xx)+sqrtx)dx.

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  15. Evaluate underset(3)overset(pi//2)int In cot x dx.

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  16. Find the area bounded by the curve x=y^2 and the straight lines x = 0,...

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  17. Find the area bounded by the curve y = sin x between x = 0 and x=2pi.

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  18. Find the area of the parabola y^2=36x bounded by its latus rectum.

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  19. Find the area of the region bounded by y=6x-x^2x-axis and between ordi...

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  20. Find the area of the trapezium bounded by the sides y=x,x=0,y=3,y=4.

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