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Integrate the following int[(2x+1)/sqrt(...

Integrate the following `int[(2x+1)/sqrt(x^2+10x+29)]dx`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Evaluate int0^(pi/2)sinx/(sinx+cosx)dx.

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  2. Determine the area within the ellipse x^2/a^2+y^2/b^2=1.

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  3. Integrate the following int[(2x+1)/sqrt(x^2+10x+29)]dx

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  4. If veca=hati+2hatj-3hatkand vecb=3hati-hatj+2hatk,then find the angle ...

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  5. Find the equation of plane passing through the intersection of the pla...

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  6. Find the co-ordinates of the foot of the perpendicular from the point ...

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  7. Prove that (vecaxxhati)^2+(vecaxxhatj)^2+(vecaxxhatk)^2=2veca^2

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  8. Prove that the line (x+5)/3=(y+4)/1=(z-7)/-2 and x/1=(y+7)/5=(z-16)/-1...

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  9. Evaluate the following integrals int(3)/(x^3-1)dx

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  10. Show that int0^pixInsinx=pi^2/2In1/2

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  11. Solve dy/dx+y/x=sinx/x,y(0)=0

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  12. If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...

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  13. A figure consists of a semi-circle with a rectangle on its diameter. G...

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  14. Find the points on the curve y = x^2+1 which are nearest to the point ...

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  15. Prove that a-=bmod 3 is an equivalence relation on the set of integers...

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  16. If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...

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  17. A factory uses three different respurce for the manufacture of two dif...

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  18. If the edges of a rectangular parallelopiped are of lengths a, b, c, t...

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  19. Find the distance of the point (3,-4,5)from the plane 2x+5y-6z-19=0 me...

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  20. A variable plane is at a constant distance p from the origin and meets...

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