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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE -II
- int x^(3) cos (x^(2)) dx =
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- If int e^(sqrt(x)) " dx = K.e"^(sqrt(x)) f(x ) + c then K f(x) =
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- Evaluateint " sin "( sqrt(x)) dx
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- int log (2- 3x) dx =
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- int (log x )^(3) dx =
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- int sinh^(-1) ((x)/(4)) dx =
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- int x Tan^(-1) x dx=
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- int Sin^(-1)((2x)/(1+x^(2)))dx=f(x)-log (1+x^(2))+c rArr f(x)=
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- int x Tan^(-1) x dx=
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- Evaluate int tan^(-1) sqrt((1-x)/(1+x)) dx, on (-1,1 )
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- int (sin^(-1) x -cos^(-1)x)/(sin^(-1) x + cos^(-1)x) dx =
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- int (x tan^(-1)x)/(sqrt(1 + x^(2))) d x=
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- int (sin^(-1) sqrt(x))/(sqrt(1 -x)) dx =
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- int e^(x)((1+sin x)/(1+cos x))dx=
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- int e^(x)((2+sin 2x)/(1+cos 2x)dx=
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- int e^(2x) (2sinx + cosx) dx =
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- int e^(x)(x+sqrt(1+x^(2)))(1+(1)/(sqrt(1+x^(2))))dx=
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- int (x.e^(x))/((2 + x)^(3)) dx =
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- int (e^(x)(x^(2)+1))/((1+x)^(2))dx=
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- int ((2-sin 2x)/(1-cos 2x))e^(x)dx=
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