Choose the correct options for the following questions.
$\int \frac{\sqrt{y}(y+1)}{y}dy {y>0}$ equals:
Difficulty: Easy
A:
$\frac{2}{3}y^{\frac{3}{2}}+2y^{\frac{1}{2}}+c$
B:
$\frac{2}{3}y^{\frac{3}{2}}+c$
C:
$\frac{1}{2}y^{\frac{-1}{2}}+\frac{2}{\sqrt{y}}+c$
D:
$\frac{2}{3}y^{\frac{-1}{2}}+\frac{2}{\sqrt{y}}+c$
$\int \frac{e^{2x}+e^{x}}{e^{x}}dx$ equals:
Difficulty: Easy
A:
$\frac{1}{2}e^{2x}+e^{x}$
B:
$e^{x}+x+c$
C:
$\frac{1}{2}e^{2x}+lnx$
D:
$lne^{x}+c$
$\int (\sqrt{x}+1)^{2}$ equals:
Difficulty: Easy
A:
$\frac{1}{2} \sqrt{x}+x+c$
B:
$\frac{1}{2}x^{2}+\frac{4}{3}x^{\frac{3}{2}}+x+c$
C:
$\frac{1}{2}\sqrt{2}+x^{2}+c$
D:
$\sqrt{x}+\frac{3}{2}x^{2}+c$
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