Limit _ x x² ₀^ x e^ t³-x³ dt equals

Step-by-step solution

_ x x² ₀^ x e^ x³ d t e^ x³ Apply L Hospital array l _ x 2 x ₀^ x e^ t³ +x² e^ x³ 3 x² e^ x³ _ x 2 ₀^ x e^ t³ +x e^ x³ 3 x e^ x³ _ x 2 e^ x³ +e^ x³ +3 x³ e^ x³ 3 e^ x³ +9 x³ e^ x³ _ x 3+3 x³ 3+9 x³ = 1 3 array