Evaluate the following integrals: int 1/...

Evaluate the following integrals: `int 1/(x^(2)-9)dx`

Text Solution

Verified by Experts

The correct Answer is:

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

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BETTER CHOICE PUBLICATION-INTEGRALS-ASSIGNMENT (SECTION VIII MOST IMPORTANT QUESTIONS FOR PRACTICE)

Evaluate the following integrals: int 1/(x^(2)-9)dx
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Evaluate the following integrals: int (x^(2))/(1-x^(6))dx
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Evaluate the following integrals: int (x^(2))/((x-1)(x-2)(x-3))dx
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Evaluate the following integrals: int (2x-3)/((x^(2)-1)(2x+3))dx
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Evaluate the following integrals: int (12x^(2)-2x-9)/((4x^(2)-1)(x+3))...
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Evaluate the following integrals: int (x^(2)+1)/(x^(2)-5x+6)dx
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Evaluate the following integrals: int(x^(3)+x+1)/(x^(2)-1)dx
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Evaluate the following integrals: int (2x)/((x^(2)+1)(x^(2))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 (sin2x)/((1+sinx)(2-sinx))dx
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Evaluate the following integrals: int 1/(sinx-sin2x)dx
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Evaluate the following integrals: int (x^(2))/((x^(2)+1)(x^(2)+4))dx
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Evaluate the following integrals: int (x^(2)+1)/((x^(2)+4)(x^(2)+25))d...
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Evaluate the following integrals: int 1/(x(x^(4)+1))dx
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Evaluate the following integrals: int 1/(x(x^(3)+8))dx
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Evaluate the following integrals: int 1/(x(x^(7)-1))dx
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Evaluate the following integrals: int 1/(e^(x)-1)dx
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