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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE -II
- int x^(2) sin (x^(3))dx
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- int (1)/(4 sqrt((x - 1)^(3)(x + 2)^(5))) dx =
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- int (1)/(log(x^(x)) (log" x" + 1)) dx =
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- int (dx)/(x (log x - 2)(log x - 3)) = I + c rArr I =
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- If l'(x) means log log log .... (x), the 'log' being repeated 'r' time...
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- int (x)/((1 - x)^(n)) dx =
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- int sin^(2) x cos^(2) x dx =
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- If int (sin 2x-cos 2x) dx=(1)/(sqrt(2)) sin (2x-a)+c then a=
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- Evaluate int sin ^(4) x dx.
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- int cos x cos 2x cos 3x dx=
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- If int (sin^(8)x-cos^(8)x)/(1-2sin^(2)cos^(2)x)dx=A sin 2x+B, then A=
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- int (sin " x")/(cos 3x.cos 2x) dx =
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- If int (sin x)/(sin (x-alpha))dx=Ax+B log sin (x-alpha)+C, then value ...
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- int (cos (x - a))/(cos (x - b)) dx =
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- int (1)/(sin(x-a)sin (x-b))dx=
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- int sin^(5//2) x cos^(3) x dx=
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- int (sin x cos x)/(sin^(4) +cos^(4) x)dx=
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- int (a + b sin x )/((b + a sin x )^(2)) dx =
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- int (x)/(sqrt(1- x^(2)) cos^(2) sqrt(1 - x^(2))) dx =
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- int (secx)/((sec x+ tan x)^(2))dx=
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