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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - I
- If x lt - 1" then " int (1)/(sqrt(x^(2) + 2x + 1)) dx =
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- int (1-sqrt(x))/(1+(x)^(1/4))dx=
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- int((1+x)+sqrt(x)*sqrt(1+x))/(sqrt(x)+sqrt(1+x))))dx is equal to
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- Evalute the following integrals int ((1)/(sqrt(x + a) sqrt(x + b)) )...
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- Evalute the following integrals int (1)/(x) sqrt((x - 1)/(x + 1)) d...
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- int [1+x+(x^(2))/(2!)+(x^(3))/(3!)+...]dx=
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- Evalute the following integrals int e^(2 log" cot x") dx =
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- Evalute the following integrals int log ("cosh x + sinh x ") dx =
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- 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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