# Test: Integration II - Ambitious

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Question 1:   Determine the integral: $\int {\left(3x+4\right)}^{2}dx$
$\frac{{\left(3x+4\right)}^{2}}{6}+C$
$\frac{{\left(x+4\right)}^{3}}{3}+C$
${\left(3x+4\right)}^{3}+C$
$\frac{{\left(3x+4\right)}^{3}}{9}+C$
Question 2:   Determine the integral: $\int {\left(4+3x\right)}^{-6}dx$
$\frac{{\left(1+3x\right)}^{-5}}{3}+C$
$-\frac{{\left(4-3x\right)}^{-5}}{6}+C$
$-\frac{{\left(4+3x\right)}^{-5}}{12}+C$
$\frac{{\left(4-1x\right)}^{-5}}{4}+C$
Question 3:   Determine the integral: $\int 5\mathrm{cos}\left(3x-1\right)dx$
$\frac{5}{3}\mathrm{sin}\left(3x-1\right)+C$
$-5\mathrm{sin}\left(3x-1\right)+C$
$3\mathrm{sin}\left(3x-1\right)+C$
$-\frac{5}{3}\mathrm{cos}\left(3x-1\right)+C$
Question 4:   Determine the integral: $\int {3}^{4x+5}dx$
$\frac{{3}^{4x+5}}{\mathrm{ln}3}+C$
$\frac{{3}^{4x+5}}{4\mathrm{ln}3}+C$
${e}^{4x+5}+C$
$\frac{{3}^{4x+5}}{\mathrm{ln}4}+C$
Question 5:   Determine the integral: $\int 12{e}^{2-7x}dx$
$-\frac{12}{7}{e}^{2-7x}+C$
${e}^{2-7x}+C$
$-144{e}^{2-7x}+C$
$\left(2-7x\right){e}^{2-7x}+C$
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