Evaluate the following integrals.

$(a)$

$\frac{1}{?}$

$\sqrt[\phantom{2}]{2}$

$0$

$4$

$\sqrt[\phantom{2}]{1}-x2$

$dx$

$(b)$

$10$

$\sqrt[\phantom{2}]{x}$

$(1+6x5)dx$

Evaluate the following integrals.

$(a){\displaystyle \underset{0}{\overset{\frac{1}{\sqrt[\phantom{2}]{2}}}{}}}\frac{4}{\sqrt[\phantom{2}]{1-x^2}}dx$

$(b){\displaystyle \underset{0}{\overset{1}{}}}\sqrt[\phantom{2}]{x}(1+6x^5)dx$