# Understanding the Indefinite Integral

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## 10 Questions

### What is the indefinite integral of $2x$ with respect to $x$?

$x^2 + C$

### What is the indefinite integral of $4$ with respect to $x$?

$4x + C$

### What is the indefinite integral of $3x^2$ with respect to $x$?

$x^3 + C$

### What is the indefinite integral of $5e^x$ with respect to $x$?

$5e^x + C$

### What is the indefinite integral of $7 ext{sin}(x)$ with respect to $x$?

$-7 ext{cos}(x) + C$

### What is the indefinite integral of $rac{1}{x}$ with respect to $x$?

$ext{ln}|x| + C$

### What is the indefinite integral of $rac{1}{ ext{cos}^2(x)}$ with respect to $x$?

$ext{tan}(x) + C$

### What is the indefinite integral of $rac{1}{1+x^2}$ with respect to $x$?

$ext{arctan}(x) + C$

### What is the indefinite integral of $rac{1}{ ext{sin}(x) ext{cos}(x)}$ with respect to $x$?

$ext{ln}| ext{tan}(x)| + C$

### What is the indefinite integral of $rac{x+1}{ ext{x}^2+2}$ with respect to $x$?

$rac{ ext{ln}|(x^2+2)|}{2}+ ext{x}+C$

## The inefinite integral

### The inefinite integral

Test your understanding of the indefinite integral and its properties with this quiz. Questions cover techniques for finding indefinite integrals, substitution, integration by parts, and more.

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