The anti derivative of ≤ft({x} + 1/x) equals

NCERT Class XII Mathematics Chapter - - Solutions

Choose the correct answer in Exercises 21 and 22.

Question : 21 of 271

Marks: +1, -0

The anti derivative of

\left(\sqrt{x} + \frac{1}{x}\right)

equals

Solution:

Let

I = \left(\sqrt{x} + \frac{1}{x}\right) dx

= \int \left( x^{1/2} + x^{-1/2} \right) dx

= \frac{2}{3} x^{3/2} + 2 x^{1/2} + C

Go to Question: