Evaluate the following integrals : int...

Evaluate the following integrals :
`int(3x)/((x-4)(x+2))dx`.

Text Solution

Verified by Experts

The correct Answer is:

`log|(sqrt(x-3))/((x-1)^(1//6)(x+2)^(1//3))|+C`

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ARIHANT PUBLICATION-INTEGRATION -PART IV (QUESTIONS FOR PRACTICE) (4 MARK)

Evaluate the following integrals : int(3x)/((x-4)(x+2))dx.
06:06
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Evaluate the following integrals : int(2)/((1-x)(1+x^(2)))dx.
07:24
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Evaluate the following integrals : int(x^(2)+x+1)/((x+1)(x+2))dx.
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Evaluate the following integrals : int(dx)/(x(x^(3)+1))
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Evaluate the following integrals : int(x^(2))/(1-x^(4))dx.
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Evaluate the following integrals : int(sinx)/((1-cosx)(2-cosx))dx.
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Evaluate the following integrals : int(e^(x))/((1+e^(x))(2+e^(x)))dx...
04:17
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Evaluate the following integrals : int(cosx)/(sin^(2)x+sinx)dx.
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Evaluate the following integrals : int(sinx+sin2x)dx.
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Evaluate the following integrals : int((3sinphi-2)cosphi)/(5-cos^(2)...
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Evaluate the following integrals : int(dx)/(e^(4x)-5).
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