MathProblemsBank

I.3.3.33 Definite Integrals

Condition: Find certain integrals. 1) \ (\ int_ {2} ^{e} \ frac {d x} {x \ ln ^{3} x} \); 2) \ (\ int_ {1}^{e^{2}} \ frac {\ ln^{3} x+3 \ ln x} {x} d x \); 3) \ (\ int_ {0} ^{2 \ pi} \ sin ^{4} x d x \)