Answer to Question #174625 in Calculus for Phyroe

Question

Evaluate the integral of (5e)^(3x) dx

Answer 1

∫(5e)^3x dx = ∫(e^ln5 *e)^3x dx = ∫(e^1+ln5)^3x dx = ∫e^(1+ln5)3x dx = e^3(1+ln5)x / [3(1+ln5)] + C= e^3x e^3xln5 / [3(1+ln5)] = e^3x 5^3x / [3(1+ln5)] + C

Answer

∫(5e)^3x dx = e^3x 5^3x / [3(1+ln5)] + C