int ((1+tanx))/((x-logcosx))dx....

`int ((1+tanx))/((x-logcosx))dx.`

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The correct Answer is:

`-log |cos x+sin x|C`

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RS AGGARWAL-INTEGRATION USING PARTIAL FRACTIONS-Exercise 15B

int((x+1)(x+logx)^2)/(2x)dx
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int (sin x)/((1+cosx))dx.
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int ((1+tanx))/((x-logcosx))dx.
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int ((1-cotx))/((1+cotx))dx.
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int ((1+cotx))/((x+logsinx))dx.
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Evaluate: int(1-sin2x)/(x+cos^2x)dx
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int (sec^(2)(logx ))/(x)dx
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int (sin (2tan^(-1)x))/((1+x^(2)))dx.
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int (tanx sec^(2)x)/((1-tan^(2)x))dx.
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Evaluate: int(x^4+1)/(x^2+1)dx
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int tan^(-1)sqrt((1-sinx)/(1+sinx))dx.
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intlog (1+x^(2))dx.
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int cos x cos 3x dx
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int sin 3x sin x dx
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int(x e^x)/((x+1)^2)dx
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inte^x(tanx-log(cosx))dx=
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int(dx)/(1-sinx)
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int x cos x^(2)dx
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Evaluate: int(cotx)/(sqrt(sinx))dx
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int (sec^(2) x)/(" cosec "^(2)x) dx
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