(i) int (log x)/x dx (ii) int (log x)^...

(i) `int (log x)/x dx`
(ii) `int (log x)^2/x dx`

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MODERN PUBLICATION-INTEGRALS-EXERCISE 7(b) LONG ANSWER TYPE QUESTION

int (dx)/(x^(2)(x^(4)+1))is
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Evaluate : int(sin 2x)/((a+b cos x)^(2))dx
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int sqrt(tanx)/(sinx cosx)dx
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(i) int (sin (tan^-1 x))/ (1+x^2) dx (ii) int (sin (2 tan^-1x))/(1+x...
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int (cos(x+a))/(sin(x+b))dx
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int 1/(sin(x-a) cos(x-b)) dx=
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int sec^4 x dx
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(i) int (1-tanx)/(1+tanx) dx (ii) int (1- cot x)/(1+ cot x) dx
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int xe^(x^2) dx
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int (e^(2x)-1)/(e^(2x)+1) dx=?
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int(x^(e-1)+e^(x-1))/(x^(2)+e^(x)) dx is equal to
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(i) int e^x sec^2 (e^x) dx (ii) int e^x cosec^2 (e^x) dx
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int((x+1)e^(x))/(cos^(2)(xe^(x)))dx=?
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(i) int (tan^-1 x)^2/(1+x^2) dx (ii) int (e^(sin^-1 x))/sqrt(1-x^2)d...
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(i) int (log x)/x dx (ii) int (log x)^2/x dx
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int((x+1)(x+logx)^(2))/(x)dx=?
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(i) int (sin(log x))/x dx (ii) int log x (sin[1+(logx)^2])/x dx
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int 2x sec^3 (x^2+3) tan (x^2+3) dx
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Evaluate: intx^2e^x^3cos(e^x^3)dx
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(i) int (cos x-sin x)/sqrt(1+ sin 2x) dx (ii) int (cos x) /((cos (x/...
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