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KUMAR PRAKASHAN-INTEGRALS -SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Objective Type Questions)
- int(cos 2x-cos 2 theta)/(cosx-cos theta)dx=....+C
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- int (dx)/(sin(x-a)sin(x-b)=......+C
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- int tan^(-1)(sqrt(x))dx=....
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- int(x^(9))/((4x^(2)+1)^(6)) dx
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- int (dx)/((x+2)(x^(2)+1))=a log|1+x^(2)|+btan^(-1)x+(1)/(5)log|x+2|+C ...
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- int(x^(3))/(x+1)dx=.....+C
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- int(1+cos x)/(x+sinx)dx=....+C
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- int(x^(3))/(sqrt(1+x^(2)))dx=a(1+x^(2))^((3)/(2))+b* sqrt(1+x^(2))+C
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- overset((pi)/(4)) underset(-(pi)/(4)) int (1)/(1+cos(2x))dx=.....
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- overset((pi)/(2))underset(0)int sqrt(1-sin(2x))dx=.....
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- overset((pi)/(2))underset(0)int cos x*e^(sinx)dx=....
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- int ((x+3)/((x+4)^(2)))e^(x)dx=.....+C
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- If overset(a)underset(0)int(1)/(1+4x^(2))dx=(pi)/(8) then a=.....
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- int (sinx)/(3+4 cos^(2)x)dx
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- overset(pi)underset(-pi)int sin^(3)x cos^(2)xdx=...
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