I.3.3.24 Definite Integrals

Condition: Calculate certain integrals: a) \ (\ int _ {\ frac {1} {3}}^{\ frac {2} {3}} \ frac {d x} {\ sqrt {4-9 x {2}} \) \ ( \ int_ {0}^{\ frac {\ pi} {2}} E^{\ sin x} \ cos x d x \) c) \ (\ int _ {-1}^{1} \ tan x d x \), d) \ ( \ int_ {0}^{\ pi} x^{3} \ sin x d x \).