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Evaluate : int1/(4+9x^(2))dx...

Evaluate : `int1/(4+9x^(2))`dx

Text Solution

Verified by Experts

We have
`int1/(4+9x^(2))dx=dx1/9int1/(4/9+x^(2))=1/9int1/(2//3)^(2)+x^(2)dx`
`=1/9.1/(2//3)tan^(-1)(x/(2//3))+C+1/6tan^(-1)(3x)/(2)+C`
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