MyQuestionIcon

1

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

Theorems for Differentiability

Evaluate: ∫2...

Question

Evaluate:
$\int \frac{2 x + 5}{x^{2} + 5 x + 6} d x$

Open in App

Solution

$\int \frac{2 x + 5}{x^{2} + 5 x + 6} d x$

Let $t = x^{2} + 5 x + 6 ⟹ d t = 2 x + 5 d x$

$= \int \frac{1}{t} d t$

$= log t + c$

put value of $t$

$= log (x^{2} + 5 x + 6) + c$

Suggest Corrections

thumbs-up

0

Similar questions

\int \frac{2 x + 5}{x^{2} + 5 x + 6} d x

\int \frac{2 x + 5}{x^{2} + 5 x + 6} d x

\int \frac{2 x^{2} + 3}{x^{2} + 5 x + 6} d x

\int \frac{x + 2}{\sqrt{x^{2} + 5 x + 6}} d x .

I = \int \frac{2 x}{x^{2} - 60 x + 6} d x

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Theorems for Differentiability

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Theorems for Differentiability

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon