Test: Integration II - Normal

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Question 1:   Find the antiderivative of the function $f\left(x\right)=5{x}^{3}+x$
$F\left(x\right)=\frac{5{x}^{4}}{4}+\frac{{x}^{2}}{2}+C$
$F\left(x\right)=5{x}^{3}+x+C$
$F\left(x\right)=5{x}^{4}+{x}^{2}+C$
$F\left(x\right)=\frac{5{x}^{4}}{4}+\frac{{x}^{2}}{2}$
Question 2:   Find the antiderivative of the function $f\left(x\right)=\frac{1}{{\mathrm{cos}}^{2}\left(x\right)}-1$
$F\left(x\right)=\frac{1}{{\mathrm{cos}}^{2}\left(x\right)}-1+C$
$F\left(x\right)=-\mathrm{tan}\left(x\right)-x+C$
$F\left(x\right)=\mathrm{tan}\left(x\right)-x$
$F\left(x\right)=\mathrm{tan}\left(x\right)-x+C$
Question 3:   Find the antiderivative of the function $f\left(x\right)=4$
$F\left(x\right)=4x$
$F\left(x\right)=0$
$F\left(x\right)=4x+C$
$F\left(x\right)=C$
Question 4:   Find the antiderivative of the function $f\left(x\right)={e}^{x}+5$
$F\left(x\right)={e}^{x}+5+C$
$F\left(x\right)=x{e}^{x}+5x+C$
$F\left(x\right)={e}^{x}+5x$
$F\left(x\right)={e}^{x}+5x+C$
Question 5:   Find the antiderivative of the function $f\left(x\right)={3}^{x}+2$
$F\left(x\right)=\frac{{3}^{x}}{\mathrm{ln}\left(3\right)}+2x+C$
$F\left(x\right)={3}^{x}+2x+C$
$F\left(x\right)={3}^{x}+2+C$
$F\left(x\right)=\frac{{3}^{x}}{\mathrm{ln}\left(3\right)}+2x$
Question 6:   Calculate $\underset{0}{\overset{1}{\int }}\left({x}^{50}\right)dx$
$\frac{1}{50}$
$50$
$51$
$\frac{1}{51}$
Question 7:   Calculate $\underset{-\frac{\pi }{2}}{\overset{\frac{\pi }{2}}{\int }}\left(\frac{1}{{\mathrm{sin}}^{2}\left(x\right)}\right)dx$
$2$
$1$
$-2$
$\frac{\pi }{2}$
Question 8:   Calculate $\underset{0}{\overset{2}{\int }}\left(6x-1\right)dx$
$1$
$20$
$10$
$5$
Question 9:   Calculate $\underset{0}{\overset{\pi }{\int }}\left(\mathrm{sin}\left(x\right)\right)dx$
$0$
$-2$
$2$
$1$
Question 10:   Calculate $\underset{1}{\overset{3}{\int }}\left(5\right)dx$
$5$
$10$
$15$
$20$