{4x+1}{{2x²+x-3}} - NCERT Class XII Mathematics Chapter -

NCERT Class XII Mathematics Chapter - - Solutions

Exercise - 7.4
Integrate the functions in Exercises 86 to 108.

Question : 101 of 271

Marks: +1, -0

\frac{4x+1}{\sqrt{2x^2+x-3}}

Solution:

Let

I=\int \frac{4x+1}{\sqrt{2x^2+x-3}}\,dx

Put

2x^2 + x - 3 = t

\Rightarrow (4x + 1)dx = dt

\therefore I=\int \frac{dt}{\sqrt{t}} = \int t^{-1/2}\,dt

=2t^{1/2}+C

=2\sqrt{2x^2 + x - 3}+C

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