Sarthaks Test
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Evaluate the following Integral:

\(\int\limits_0^1 \)x tan-1x dx

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Best answer

Let I =  \(\int\limits_0^1 \)x tan-1x dx

We will use integration by parts.

Recall,

Here, take f(x) = tan-1x and g(x) = x

⇒ ∫g(x) dx = ∫xdx

We have,

Substituting these values, we evaluate the integral.

We can write,

Recall,

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