# Test: Integration II - Normal

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