QUESTION $5$

Determine the following integrals

$($a$)$

${\displaystyle \underset{1}{\overset{4}{}}}\frac{2+x^2}{\sqrt[\phantom{2}]{x}}dx$

$(4)$

$4$

$($b$)$

${\displaystyle \underset{0}{\overset{2}{}}}(2x^3-6x+\frac{3}{x^2+1})dx$

$(8)$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}co{s}^{-1}(2x)dx$

$($d$)$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{sinx}{\sqrt[\phantom{2}]{9co{s}^{2}x+16}}dx$

$($e$)$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{1}{x^2\sqrt[\phantom{2}]{x^2+4}}dx$

$[25]$