Best solutions to - "Evaluate the indefinite integral: ∫(9x+2)dx"

gonjenjemeb

Answered question

2021-11-20

Evaluate the indefinite integral:

\int (9 x + 2) d x

Clis1955

Beginner2021-11-21Added 9 answers

Step 1
To evaluate the indefinite integral

\int (9 x + 2) d x

We use the following to find the given integral

\int c f (x) d x = c \int f (x) d x

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

\int d x = x

Step 2

\int (9 x + 2) d x = \int 9 x d x + \int 2 d x

= 9 \int x d x + 2 \int d x

= 9 \frac{x^{1 + 1}}{1 + 1} + 2 (x) + C

= \frac{9 x^{2}}{2} + 2 x + C

, where C is the constant of integration.

Ourst1977

Beginner2021-11-22Added 21 answers

Step 1: Expand.

\int 9 x + 2 d x

Step 2: Use Power Rule:

\int x^{n} d x = \frac{x^{n + 1}}{n + 1} + C

\frac{9 x^{2}}{2} + 2 x

Step 3: Add constant.

\frac{9 x^{2}}{2} + 2 x + C

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?