# Test: Integration III - Normal

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Question 1:   Find the antiderivative of the function $f\left(x\right)={x}^{5}-{x}^{2}$
$F\left(x\right)=\frac{{x}^{6}}{6}-\frac{{x}^{3}}{3}+C$
$F\left(x\right)={x}^{6}-{x}^{3}+C$
$F\left(x\right)={x}^{5}-{x}^{2}+C$
$F\left(x\right)=\frac{{x}^{6}}{6}-\frac{{x}^{3}}{3}$
Question 2:   Find the antiderivative of the function $f\left(x\right)=\frac{1}{2x}$
$F\left(x\right)=\frac{1}{2x}+C$
$F\left(x\right)=\mathrm{ln}|x|+C$
$F\left(x\right)=\frac{\mathrm{ln}|x|}{2}$
$F\left(x\right)=\frac{\mathrm{ln}|x|}{2}+C$
Question 3:   Find the antiderivative of the function $f\left(x\right)=20$
$F\left(x\right)=0$
$F\left(x\right)=20x+C$
$F\left(x\right)=C$
$F\left(x\right)=20x$
Question 4:   Find the antiderivative of the function $f\left(x\right)=\mathrm{cos}\left(x\right)$
$F\left(x\right)=-\mathrm{cos}\left(x\right)+C$
$F\left(x\right)=-\mathrm{sin}\left(x\right)+C$
$F\left(x\right)=\mathrm{cos}\left(x\right)+C$
$F\left(x\right)=\mathrm{sin}\left(x\right)+C$
Question 5:   Find the antiderivative of the function $f\left(x\right)={7}^{x}-1$
$F\left(x\right)=\frac{{7}^{x}}{\mathrm{ln}\left(7\right)}-x+C$
$F\left(x\right)={7}^{x}-x+C$
$F\left(x\right)=\frac{{7}^{x}}{\mathrm{ln}\left(7\right)}-x$
$F\left(x\right)=\frac{{7}^{x}}{\mathrm{ln}\left(7\right)}+x+C$
Question 6:   Calculate $\underset{0}{\overset{1}{\int }}\left({x}^{15}\right)dx$
$16$
$15$
$\frac{1}{15}$
$\frac{1}{16}$
Question 7:   Calculate $\underset{-\frac{\pi }{2}}{\overset{\frac{\pi }{2}}{\int }}\left(5\mathrm{cos}\left(x\right)\right)dx$
$20$
$5$
$10$
$-10$
Question 8:   Calculate $\underset{1}{\overset{2}{\int }}\left(4x-5\right)dx$
$0$
$3$
$1$
$15$
Question 9:   Calculate $\underset{0}{\overset{1}{\int }}\left({e}^{x}\right)dx$
$1$
$e$
$0$
$e-1$
Question 10:   Calculate $\underset{3}{\overset{20}{\int }}\left(2\right)dx$
$40$
$30$
$34$
$32$