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HIMALAYA PUBLICATION-INDEFINITE INTEGRAL-QUESTION BANK
- int (√(tanx))/ (sin x cos x) dx = -f(x) =c, then f(x) =
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- int ((3-x^(2))e^(x))/(1-2x+x^(2)) dx = e^(x).f(x) + c, then f(x) =
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- int dx/((x+100)sqrt(x+99)) = f(x) + c then f(x) =
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- int sin^(-1)((2x)/(1+x^(2))) dx = f(x) - log (1+x^(2)) +c then f(x) =
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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 sinx/(cos x (1+cos x)) dx = f(x) + c implies f(x) =
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- Observe the following statements A : int (((x^(2)-1)/(x^(2))).e^((x^(2...
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- int sqrt((x)/(a^(3)-x^(3))) dx = g(x) + c implies g(x) =
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- int (dx)/(x^(2)+2x+2) = f(x)+c implies f(x)
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- The value of int e^(x)(2-x^(2))/((1-x)sqrt(1-x^(2))) dx =
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- int (e^(alogx) + e^(xlog a)) dx=
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- int (dx)/(x^(2)+4x+13) =
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- int e^(-log x) dx =
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- int a^(x/2)/(sqrt(a^(-x) - a^(x))) dx =
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- int (sin x)/(sin (x-a)) dx =
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- int (f^(')(x))/(f(x) log [f(x)]) dx =
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- int e^(x)/((2+e^(x))(e^(x) +1)) dx =
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- int cos[2 cot^(-1) sqrt((1-x)/(1+x))] dx =
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- If f(x) = cos x - cos^(2)x + cos^(3)x + …. to oo int f(x) dx =
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- int ((e^(x)-e^(-x))dx)/((e^(x) + e^(-x)) log (cosh x) =
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