"Evaluate the given integral. ∫1+xxdx" was answered by our community

urca3m403

Answered question

2021-11-20

Evaluate the given integral.

\int \frac{1 + x}{x} d x

Answer & Explanation

breisgaoyz

Beginner2021-11-21Added 14 answers

Step 1
we have to evaluate the given integral

\int \frac{1 + x}{x} d x

Step 2

\int \frac{1 + x}{x} d x

= \int \frac{1}{x} d x + \int d x

= \ln | x | + x + C

\int \frac{1 + x}{x} d x = \ln | x | + x + C

Elizabeth Witte

Beginner2021-11-22Added 24 answers

Step 1: Simplify

\frac{1 + x}{x} \to 1 + \frac{1}{x}

\int 1 + \frac{1}{x} d x

Step 2: Use Sum Rule:

\int f (x) + g (x) d x = \int f (x) d x + \int g (x) d x

\int 1 d x + \int \frac{1}{x} d x

Step 3: Use this rule:

\int a d x = a x + C

x = \int \frac{1}{x} d x

Step 4: The derivative of

\ln x i s \frac{1}{x}

x + \ln x

Step 5: Add constant.

x + \ln x + C

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?

Product

Company

Connect with us

Get Plainmath App

Google Play

Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus

Cyprus reg.number: ΗΕ 419361

E-mail us: support@plainmath.net

Our Service is useful for:

Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD.