Question

Интеграл от 1 до 0 (4x+5)^5 dx

Answer 1

$\int\limits^1_0 {(4x+5)^5} \, dx =\\4x+5=t\\4dx=dt\\dx=\frac{1}{4} dt\\x=0, t=5\\x=1, t=9\\=1/4\int\limits^9_5 {t^5} \, dx =\frac{t^6}{24} =\frac{9^6}{24}-\frac{5^6}{24}$