x{1+2x² - NCERT Class XII Mathematics Chapter - - Solutions

NCERT Class XII Mathematics Chapter - - Solutions

Exercise - 7.2
Integrate the functions in Exercises 23 to 59.

Question : 30 of 271

Marks: +1, -0

x\sqrt{1+2x^2}

Solution:

Let

I=\int x\sqrt{1+2x^2}dx

Put

1 + 2x^2 = t

\Rightarrow 4xdx = dt

I=\frac{1}{4}\int \sqrt{t}dt=\frac{1}{4}\left(\frac{t^{3/2}}{3/2}\right)+C

= \frac{1}{6} t^{3/2} + C = \frac{1}{6} (1+2x^2)^{3/2} + C

Go to Question: