Evaluate: intx^3log2x\ dx...

Evaluate: `intx^3log2x\ dx`

Text Solution

Verified by Experts

The correct Answer is:

`(x^(4)log2x)/(4)-(x^(4))/(16)+C`

Integrate by parts, taking (log 2x) as the 2nd function.

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RS AGGARWAL-METHODS OF INTEGRATION -Exercise 13C

Evaluate the following integrals: intx^(2)e^(3x)dx
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Evaluate the following integrals: intx^(2)sin^(2)xdx
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Evaluate: intx^3log2x\ dx
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Evaluate the following integrals: intx*log(x+1)dx
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Evaluate the following integrals: int(logx)/(x^(n))dx
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Evaluate the following integrals: int2x^(3)e^(x^(2))dx
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Evaluate the following integrals: intxsin^(3)xdx
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intxcos^(2)xdx=?
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Evaluate the following integrals: intx^(3)cosx^(2)dx
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Evaluate the following integrals: intsinxlog(cosx)dx
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Evaluate the following integrals: intxsinxcosxdx
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Evaluate the following integrals: intcossqrt(x)dx
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Evaluate the following integrals: int"cosec"^(3)xdx
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Evaluate the following integrals: intxsin^(3)xcosxdx
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intsinxlog(cosx)dx=?
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Evaluate the following integrals: int(log(logx))/(x)dx
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Evaluate the following integrals: intlog(2+x^(2))dx
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Evaluate the following integrals: int(x)/((1+sinx))dx
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Evaluate the following integrals: int{(1)/(logx)-(1)/((log)^(2))}dx
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Evaluate the following integrals: inte^(x)cos2xcos4xdx
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