Find the integral.
-$\int \frac{5 e^{1 / y}}{3 y^{2}} d y$
A) $-\frac{5}{3} e^{1 / y}+C$
B) $\frac{5 e^{1 / y}}{y^{3}}+C$
C) $\frac{5}{3} \mathrm{e}^{1 / y+C}$
D) $\frac{5 e^{1 / y}}{3} 6 y+C$

Question

Quizplus · Accepted Answer

The integral can be solved using substitution. Let $ u = \frac{1}{y} $, then $ du = -\frac{1}{y^2} dy $. The integral becomes $-\frac{5}{3} \int e^u du$, which evaluates to $-\frac{5}{3} e^u + C$. Substituting back $ u = \frac{1}{y} $, we get $-\frac{5}{3} e^{1/y} + C$.

Find the Integral ∫5e1/y3y2dy\int \frac{5 e^{1 / y}}{3 y^{2}} d y∫3y25e1/y​dy

Find the Integral $\int \frac{5 e^{1 / y}}{3 y^{2}} d y$