# Test: Integration III - Normal

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Question 1:   Find the antiderivative of the function $f\left(x\right)={x}^{5}-{x}^{2}$
$F\left(x\right)=\frac{{x}^{6}}{6}-\frac{{x}^{3}}{3}$
$F\left(x\right)={x}^{6}-{x}^{3}+C$
$F\left(x\right)=\frac{{x}^{6}}{6}-\frac{{x}^{3}}{3}+C$
$F\left(x\right)={x}^{5}-{x}^{2}+C$
Question 2:   Find the antiderivative of the function $f\left(x\right)=\frac{1}{2x}$
$F\left(x\right)=\mathrm{ln}|x|+C$
$F\left(x\right)=\frac{\mathrm{ln}|x|}{2}$
$F\left(x\right)=\frac{\mathrm{ln}|x|}{2}+C$
$F\left(x\right)=\frac{1}{2x}+C$
Question 3:   Find the antiderivative of the function $f\left(x\right)=20$
$F\left(x\right)=0$
$F\left(x\right)=C$
$F\left(x\right)=20x$
$F\left(x\right)=20x+C$
Question 4:   Find the antiderivative of the function $f\left(x\right)=\mathrm{cos}\left(x\right)$
$F\left(x\right)=-\mathrm{cos}\left(x\right)+C$
$F\left(x\right)=\mathrm{sin}\left(x\right)+C$
$F\left(x\right)=-\mathrm{sin}\left(x\right)+C$
$F\left(x\right)=\mathrm{cos}\left(x\right)+C$
Question 5:   Find the antiderivative of the function $f\left(x\right)={7}^{x}-1$
$F\left(x\right)=\frac{{7}^{x}}{\mathrm{ln}\left(7\right)}-x$
$F\left(x\right)=\frac{{7}^{x}}{\mathrm{ln}\left(7\right)}-x+C$
$F\left(x\right)={7}^{x}-x+C$
$F\left(x\right)=\frac{{7}^{x}}{\mathrm{ln}\left(7\right)}+x+C$
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