`int_1^(sqrt(3)) arctan(1/x) dx` Evaluate the integral

Expert Answers

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If f(x) and g(x) are differentiable functions, then


If we write f(x)=u and g'(x)=v, then


Using the above method of integration by parts,





Now let's evaluate `intx/(x^2+1)dx`

substitute `t=x^2+1,=>dt=2xdx`



substitute back `t=x^2+1`



C is a constant

Now evaluate the definite integral,









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