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UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
- Evaluate: intx^(13/2) (1+x^(5//2) )^(1/2) dx
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- Evaluate: int(log(1+x^2)dx
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- answer the foll. Questions: (ii)evaluate :int (x^4+1)/(x^6+1) dx
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- Evaluate: intdx/(sqrtsin^3x cos(x-alpha))
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- Evaluate: overset(pi)underset(0)int|cosx|dx
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- Evaluate: int (sin x + cos x)/(9 + 16 sin 2x) dx
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- Evaluate: overset(pi//4)underset(0) int(Sectheta d theta)/(1+2sin^2 ...
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- Evaluate: overset(e)underset(1)int((x+1)^3)/(x^2) dx
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- Evaluate: overset(pi)underset(0)intxsinx cos^2xdx
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- Show that: overset(1)underset(0)int (log(1+x)/(1+x^2))dx= pi/8 log 2.
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- Evaluate: int(pi/4)^((3pi)/4)dx/(1+cosx)
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- Evaluate : underset(nrarrinfty)lim [1/n + 1/(n+1)+ 1/(n+2) + .... +1...
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- Solve: xdy-ydx= sqrt(x^2+y^2)dx.
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- Solvex dy + y dx = (ydx - xdy)/(x^2 + y^2)
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- Solvex cos x dy/dx + y (sin x + cos x) = 1
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- Solve(cos y + y cos x ) dx + sin (x - x sin y) dy = 0
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- Solve(d^2y)/(dt^2) = tan y sec ^2 y, given dy/dt = 0 when y = 0
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- Prove that cos (sinx) > sin (cos x) for all x in 0 le x le pi//2
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- If the line ax+by+c=0 is a normal to the curve xy=1 then
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- Prove that all points of the curve y^2=4a[x+asinx/a] at which the lang...
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