gonjenjemeb

2021-11-20

Evaluate the indefinite integral:

$\int (9x+2)dx$

Clis1955

Beginner2021-11-21Added 9 answers

Step 1

To evaluate the indefinite integral

$\int (9x+2)dx$

We use the following to find the given integral

$\int cf\left(x\right)dx=c\int f\left(x\right)dx$

$\int xdx=\frac{{x}^{n+1}}{n+1}$

$\int dx=x$

Step 2

$\int (9x+2)dx=\int 9xdx+\int 2dx$

$=9\int xdx+2\int dx$

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

$=\frac{9{x}^{2}}{2}+2x+C$ , where C is the constant of integration.

To evaluate the indefinite integral

We use the following to find the given integral

Step 2

Ourst1977

Beginner2021-11-22Added 21 answers

Step 1: Expand.

$\int 9x+2dx$

Step 2: Use Power Rule:$\int {x}^{n}dx=\frac{{x}^{n+1}}{n+1}+C$ .

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

Step 3: Add constant.

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

Step 2: Use Power Rule:

Step 3: Add constant.

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