inte^(x)(cotx+logsinx)dx=?...

`inte^(x)(cotx+logsinx)dx=?`

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Verified by Experts

The correct Answer is:

`e^(x)log(sinx)+C`

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RS AGGARWAL-METHODS OF INTEGRATION -Exercise 13C

Evaluate the following integrals: inte^(x)secx(1+tanx)dx
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Evaluate the following integrals: inte^(x)(tan^(-1)x+(1)/(1+x^(2)))d...
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inte^(x)(cotx+logsinx)dx=?
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inte^x(tanx-logcosx)dx
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inte^(x)[secx+log(secx+tanx)]dx=?
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Evaluate the following integrals: inte^(x)((1+sinxcosx)/(cos^(2)x))d...
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Evaluate the following integrals: inte^(x)((sinxcos-1)/(sin^(2x)))dx
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Evaluate the following integrals: inte^(x)((cosx+sinx)/(cos^(2)x))dx
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Evaluate the following integrals: inte^(x)((2-sin2x)/(1-cos2x))dx
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inte^(x)((1+sinx)/(1+cosx))dx=?
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Evaluate: inte^x\ ((sin4x-4)/(1-cos4x))\ dx
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Evaluate the following integrals: int(e^(x)[sqrt(1-x^(2))sin^(-1)x+1...
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Evaluate the following integrals: inte^(x)((1+xlogx)/(x))dx
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Evaluate the following integrals: inte^(x)*(x)/((1+x)^(2))dx
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Evaluate the following integrals: inte^(x)((x-1))/((x+1)^(3))dx
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Evaluate the following integrals: inte^(x)((2-x))/((1-x)^(2))dx
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Evaluate the following integrals: inte^(x)*((x-3))/((x-1)^(3))dx
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Evaluate the following integrals: inte^(3x)((3x-1)/(9x^(2)))dx
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Evaluate the following integrals: int((x+1))/((x+2)^(2))e^(x)dx
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int(x e^(2x))/((1+2x)^2)dx
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