\[\int {\left( {\frac{{{x^2}+ 1}}{{\sqrt x }}}\right)}\,dx\]
\[\frac{5}{2}{x^{\frac{5}{2}}} + \frac{1}{2}{x^{\frac{1}{2}}} + c\]
\[\frac{4}{{15}}{x^{\frac{5}{2}}} + c\]
\[\frac{2}{5}{x^{\frac{5}{2}}} + 2{x^{\frac{1}{2}}} + c\]
\[\int\limits_1^2{\frac{{(x + 2)(x - 2)}}{{{x^2}}}}\,dx\]
\[- 1\]
\[1\]
\[2\]
\[\int {\cos\left({\frac{1}{2}x}\right)} \,dx\]
\[\sin\left({\frac{1}{2}x}\right)+ c\]
\[- 2\sin \left( {\frac{1}{2}x} \right) + c\]
\[2\sin\left({\frac{1}{2}x}\right)+ c\]
\[\int {\sqrt {10 - x} } \,dx\]
\[\frac{2}{3}{(10 - x)^{\frac{3}{2}}} + c\]
\[- \frac{2}{3}{(10 - x)^{\frac{3}{2}}} + c\]
\[- \frac{3}{2}{(10 - x)^{\frac{3}{2}}} + c\]
\[\int\limits_{ - 2}^1 {{x^5}} \,dx\]
\[- \frac{{21}}{2}\]
\[- \frac{{65}}{6}\]
\[- \frac{{15}}{4}\]
\[\int {\sin \left( {3x + 1} \right)} \,dx\]
\[- \frac{1}{3}\cos (3x + 1) + c\]
\[\frac{1}{3}\cos (3x + 1) + c\]
\[\cos (3x + 1) + c\]
\[{\int {\left( {2x + 5} \right)} ^{\frac{1}{2}}}\,dx\]
\[{(2x + 5)^{\frac{3}{2}}} + c\]
\[\frac{1}{3}{(2x + 5)^{\frac{3}{2}}} + c\]
\[\frac{2}{5}{(2x + 5)^{\frac{3}{2}}} + c\]
\[\int\limits_{ - 3}^0 {{{(2x + 3)}^2}} \,dx\]
\[0\]
\[3\]
\[9\]
\[\int {\frac{1}{{{{(7 - 3x)}^2}}}} \,dx\]
\[\frac{1}{{(7 - 3x)}} + c\]
\[\frac{{ - 1}}{{3(7 - 3x)}} + c\]
\[\frac{1}{{3(7 - 3x)}} + c\]
\[\int {(6{x^2}} - x + \cos x)\,dx\]
\[2{x^3} - \frac{{{x^2}}}{2} + \sin x + c\]
\[2{x^3} - \frac{{{x^2}}}{2} - \sin x + c\]
\[2{x^3} - 1 + \sin x + c\]