Famous Integrals Rules Quiz

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Questions and Answers

What is the integral of $\frac{1}{x^n}$ with respect to $x$?

$-\frac{x^{1-n}}{n-1} + c$

What is the integral of $x^c$ with respect to $x$?

$\frac{x^{c+1}}{c+1} + c$

What is the integral of $\sin x$ with respect to $x$?

$-\cos x + c$

What is the integral of $\tan x$ with respect to $x$?

<p>$-\ln \cos x + c$</p> Signup and view all the answers

What is the integral of $\cot x$ with respect to $x$?

<p>$\ln \sin x + c$</p> Signup and view all the answers

What is the integral of $x + 3$ with respect to $x$?

<p>$rac{1}{2}x^2 + 3x + C$</p> Signup and view all the answers

Find the integral of $4x$ with respect to $x$.

<p>$2x^2 + C$</p> Signup and view all the answers

Calculate the integral of $x^2 - x$ with respect to $x$.

<p>$rac{1}{3}x^3 - rac{1}{2}x^2 + C$</p> Signup and view all the answers

What is the integral of $tan(x)$ with respect to $x$?

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

Determine the integral of $e^{2x} + x$ with respect to $x$.

<p>$rac{1}{2}e^{2x} + rac{1}{2}x^2 + C$</p> Signup and view all the answers

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