Integrate each of the following:

Question

�� ׬ (a(
3𝑑𝑥
�� ׬ (b(
2 + 𝑥
5 𝑑𝑥
(c) ׬ 15𝑥2𝑑�

Answer 1

(a) ∫3dx = 3x + C

(b) ∫ (2 + x) dx = 2x + (1/2)x^2 + C = x^2 + 2x + C

(c) ∫ 15x^2 dx = 15(1/3)x^3 + C = 5x^3 + C