Understanding the Indefinite Integral
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Understanding the Indefinite Integral

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Questions and Answers

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 $x$?

<p>$5e^x + C$</p> Signup and view all the answers

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

<p>$-7 ext{cos}(x) + C$</p> Signup and view all the answers

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

<p>$ ext{ln}|x| + C$</p> Signup and view all the answers

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

<p>$ ext{tan}(x) + C$</p> Signup and view all the answers

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

<p>$ ext{arctan}(x) + C$</p> Signup and view all the answers

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

<p>$ ext{ln}| ext{tan}(x)| + C$</p> Signup and view all the answers

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

<p>$rac{ ext{ln}|(x^2+2)|}{2}+ ext{x}+C$</p> Signup and view all the answers

Study Notes

The inefinite integral

The integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

The inefinite integral

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The inefinite integral

The inefinite integral

The inefinite integral

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The inefinite integral

The inefinite integral

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The inefinite integral

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The inefinite integral

The inefinite integral

The inefinite integral

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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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