# Test: Integration IV - Normal

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Question 1:   Determine the integral: $\int 5{x}^{4}dx$
$\frac{4}{5}{x}^{4}+C$
$\frac{5}{4}{x}^{5}+C$
${x}^{5}+C$
${x}^{4}+C$
Question 2:   Determine the integral: $\int 17dx$
${x}^{17}+C$
$17{x}^{2}+C$
$17x+C$
$1.7x+C$
Question 3:   Determine the integral: $\int {x}^{\frac{3}{4}}dx$
$\frac{4}{7}{x}^{\frac{4}{3}}+C$
$\frac{4}{7}{x}^{\frac{7}{4}}+C$
$\frac{3}{4}{x}^{\frac{4}{3}}+C$
$\frac{7}{4}{x}^{2}+C$
Question 4:   Determine the integral: $\int 0.8{e}^{x}dx$
${e}^{x}+C$
${e}^{0.8x}+C$
$0.8{e}^{0.8x}+C$
$0.8{e}^{x}+C$
Question 5:   Determine the integral: $\int {9}^{x}dx$
${9}^{x}+C$
$\mathrm{ln}{9}^{x}+C$
$9x+C$
$\frac{{9}^{x}}{\mathrm{ln}9}+C$
Question 6:   Determine the integral: $\int 3\mathrm{sin}xdx$
$\mathrm{cos}x+C$
$-3\mathrm{cos}x+C$
$3\mathrm{sin}x+C$
$-\mathrm{cos}3x+C$
Question 7:   Determine the integral: $\int \frac{4}{x}dx$
$\mathrm{ln}\frac{4}{x}+C$
$4x+C$
$4\mathrm{ln}x+C$
$\mathrm{ln}4x+C$
Question 8:   Find the coefficient $C$ of the following integral: $I=\int 0.5dx$ when $I=17$, $x=4$
$C=10$
$C=2$
$C=15$
$C=17$
Question 9:   Find the coefficient $C$ of the following integral:$I=\int \left(2{x}^{3}-\frac{1}{2}{x}^{2}+3x-5\right)dx$ when $I=5$, $x=2$
$C=2$
$C=2\frac{2}{3}$
$C=3$
$C=2\frac{1}{3}$
Question 10:   Find the coefficient $C$ of the following integral: $I=\int 3{e}^{x}dx$ when $I=52.2$, $x=2$
$C=43$
$C=28$
$C=30$
$C=16$