Carefully read the instructions and then conplrte the $4$ integrals on the page Problem $1$: Each integral below is "best" approached by using traditional substitution, trigonometric substitution, partial fraction decomposition, or integration by parts $($one of each integration technique$).$ For each integral, identify the technique you are employing and complete the technique only $($don$\text{'}$t completely evaluate the integral$)...$

Traditional$/$Trigonometric Substitution: Your answer must include your substitution equations and an equivalent integral in terms of your substituted variable.

Partial Fraction Decomposition: Your answer must include the partial fraction structure of the integrand and the equation $($which should include no fractions$)$ that is used to find the values for $A,B,C,$ etc.

Integration by Parts: Your answer must include the result of completing the process of integration by parts.

${\displaystyle \underset{0}{\overset{1}{}}}arcsin(x)dx,{\displaystyle \underset{2}{\overset{9}{}}}{x}^3(x^2-1{)}^{\frac{1}{3}}dx$

Technique: $q,$ Technique: $q,$

${\displaystyle \underset{0}{\overset{2}{}}}\frac{x^2}{\sqrt[\phantom{2}]{x^{2}4}}dx$

Technique: $q,$ Technique: