Question

$<var>\int\limits^1_0 {2^{x^{3}+5x} \cdot ln3^{x^{6}+10x^{4}+25x^{2}} \cdot(3x^{2}+5)\, dx</var>$

Answer 1

Notam $x^3+5x=t=>(3x^2+5)dx=dt$
I=$\int\limits^6_0 {2^{t} \cdot ln3^{t^2}dt=ln3 \cdot\int\limits^6_0 {2^{t} \cdot {t^2}dt=...$