MyQuestionIcon

1

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

Integration by Partial Fractions

Evaluate: ∫...

Question

Evaluate: $\int \frac{5 x - 2}{1 + 2 x + 3 x} d x$

Open in App

Solution

$\int \frac{5 x - 2}{1 + 2 x + 3 x} d x = \int \frac{(5 x + 1) - 3}{5 x + 1} d x = \int d x - 3 \int \frac{d x}{5 x + 1} = x - 3 ln ∣ 5 x + 1 ∣ + C$

Suggest Corrections

thumbs-up

0

Similar questions

\int sin 2 x cos 3 x d x

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

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

\int (1 - x) (2 + 3 x) d x =

1 \int 0 e^{2 - 3 x} d x

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Integration by Partial Fractions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Integration by Partial Fractions

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon