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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - I
- Evalute the following integrals int 2^(log(4)x) dx =
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- If int (2^(x) 3^(x))/(5^(2x). 7^(x)) dx = (1)/(k) ((2^(x).3^(x))/(5^(2...
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- int tanh^(2)xdx=
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- int (1)/(1 - sin x ) dx =
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- int sec^(2)"cosec"^(2) x dx=
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- int (1+sin^(2)x)/(1+cos 2x)dx=
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- int (1-cosx)"cosec"^(2)x dx=f(x)+c rArr f(x)=
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- If int (sin^(2) alpha - sin^(2)x)/(" cos x - cos"alpha) dx = f(x) + A...
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- int (3 cos^(2)x+4 sin^(2)x)/(cos^(2)xsin^(2)x)dx=
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- int ( sin^(3)x+cos^(3)x)/(sin^(2)x cos^(2)x)dx=
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- If x gt 0 then int ("tan"^(-1) (x)/(x^(2) + 1) + "tan"^(-1) " "(x^(2) ...
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- int (sum(r = 0)^(infty) (x^(r) 3^(r))/(r!) ) dx =
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- int sin 4x cos 3x dx =
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- Ir x in (0 ,(pi)/(2) ) " then " int sqrt(1 + cos x ) dx =
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- 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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