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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - I
- int (1+cos x)/(1-cos x)dx=
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- int (1- tan x//2)/(1+ tan x//2)dx=
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- int x^(2) sin (x^(3))dx
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- int (1 + cos x)/((x + sin x)^(2)) dx =
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- int " "(e^(sqrt(x)) sin (e^(sqrt(x))))/(sqrt(x))dx =
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- int (2)/(x [1 + (log x)^(2)]) dx =
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- int ((1+x)e^(x))/(sin^(2)(x e^(x)))dx=
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- int (x^3)/(sqrt(1-x^(8)))dx=
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- int (x^(49)Tan^(-1) (x^(50)))/((1+x^(100)))dx=k (Tan^(-1)(x^(50))^(2)+...
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- int (4x+3) sqrt(2x^(2)+3x+5)dx=
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- int sec x log (sec x+ tan x)dx=
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- int " cosec"^(m) x cot x dx =
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- int (sin^(6)x)/(cos^(8)x)dx=
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- int (1)/(x^(2)) e^((x - 1)/(x)) dx =
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- int (dx)/((x-1)sqrt(x^(2)-1))=
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- int (x +1)/(x^(2) + 1) dx =
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- int (1)/(x (2 +3 log x )) dx =
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- int (1+log x)/(1+x log x)dx=
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- int (dx)/(x(1+log x)^(3))=
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- int (1-tanx)/(1+tan x)dx=
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