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If f(x)=underset(1)overset(x^2)inttan^(-...

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

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Evaluate underset(-3)overset3int|x+1|dx.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Write the order and degree of the differential equations given by : (d...

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  17. Write the order and degree of the differential equations given by : {y...

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  18. Write the order and degree of the differential equation given by : (d^...

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  19. Write the order and degree of the differential equation given by : ((d...

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  20. The degree of the differential equation satisfying sqrt(1-x^2)+sqrt(1+...

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