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Integrating $f\left(x\right)=ax+b$

Integrate. Don’t forget $+c$.

$\displaystyle \int{5(x+3)^4dx}=$

$\displaystyle \int{(x-2)^5dx}=$

$\displaystyle \int{(4x-5)^7dx}=$

$\displaystyle \int{\left(\frac{1}{8}x+1\right)^3dx}=$

$\displaystyle \int{(4-x)^8dx}=$

$\displaystyle \int{4\left(3-\frac{1}{2}x\right)^6dx}=$

$\displaystyle \int{\sqrt{2x-1}dx}=$

$\displaystyle \int{7\left(2-5x\right)^{\frac{3}{4}}dx}=$

$\displaystyle \int{\frac{6}{\left(4-3x\right)^2}dx}=$

$\displaystyle \int{\frac{1}{\left(2+\frac{x}{3}\right)^{\frac{1}{4}}}dx}=$

$\displaystyle \int{3e^{3x}dx}=$

$\displaystyle \int{e^{2x+5}dx}=$

$\displaystyle \int{e^{\frac{1}{2}x}dx}=$

$\displaystyle \int{4e^{\frac{2x-1}{3}}dx}=$

$\displaystyle \int{-6e^{-3x}dx}=$

$\displaystyle \int{\frac{1}{e^{4x}}dx}=$

$\displaystyle \int{e^{-\frac{2}{3}x}dx}=$

$\displaystyle \int{\frac{-2}{e^{\frac{x}{4}}}dx}=$

$\displaystyle \int{\frac{1}{x+4}dx}=$

$\displaystyle \int{\frac{5}{5x-2}dx}=$

$\displaystyle \int{\frac{2}{3x+4}dx}=$

$\displaystyle \int{\frac{8}{2x-5}dx}=$

$\displaystyle \int{\frac{1}{7-2x}dx}=$

$\displaystyle \int{\frac{-3}{1-4x}dx}=$

$\displaystyle \int{2\cos \left(4x\right)dx}=$

$\displaystyle \int{\sin \left(2-3x\right)dx}=$