MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Functions

Solve : ∫x2...

Question

Solve : $\int \frac{x^{2} + x + 5}{3 x + 2} d x$

Open in App

Solution

$\frac{x^{2} + x + 5}{3 x + 2}$

$= \frac{x}{3} + \frac{\frac{x}{3} + 5}{3 x + 2}$

$= \frac{x}{3} + \frac{1}{9} + \frac{\frac{43}{9}}{3 x + 2}$

$\frac{x^{2} + x + 5}{3 x + 2} = \frac{x}{3} + \frac{1}{9} + \frac{43}{9 (3 x + 2)}$

$\int \frac{x^{2} + x + 5}{3 x + 2} d x = \int (\frac{x}{3} + \frac{1}{9} + \frac{43}{9 (3 x + 2)}) d x$

$= \frac{x^{2}}{6} + \frac{x}{9} + \frac{43}{9} (\frac{1}{3} ln | 3 x + 2 |) + C$

Suggest Corrections

thumbs-up

0

Similar questions

\int (\frac{x^{2} + 5 x + 2}{x + 2}) d x

\int_{0}^{1} (x^{2} + 3 x + 2) d x =

\int \frac{x^{2} + x + 5}{3 x + 2} d x

\int \frac{2 x + 5}{\sqrt{3 x + 2}} d x

\int \frac{3 x + 5}{x^{3} - x^{2} - x + 1} d x

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon