Problem:Find $latex d\left[ln{\left(y^2\right)}+ln{\left(1+\sqrt y\right)}\right]&s=3&bg=ffffff&fg=000000$. SOLUTION: $latex =d\left[ln{\left(y^2\left(1+\sqrt y\right)\right)}\right]&s=1&bg=ffffff&fg=000000$$latex =d\left[ln{\left(y^2+y^\frac{5}{2}\right)}\right]&s=1&bg=ffffff&fg=000000$$latex =\frac{1}{y^2+y^\frac{5}{2}}\times\left(2y+\frac{5}{2}y^\frac{3}{2}\right)dy&s=1&bg=ffffff&fg=000000$$latex =\frac{y\left(2+\frac{5}{2}y^\frac{1}{2}\right)}{y^2\left(1+\sqrt y\right)}dy&s=1&bg=ffffff&fg=000000$$latex =\frac{2+\frac{5}{2}y^\frac{1}{2}}{y\left(1+\sqrt y\right)}dy&s=1&bg=ffffff&fg=000000$$latex =\frac{2+\frac{5}{2}\sqrt y}{y\left(1+\sqrt y\right)}dy&s=1&bg=ffffff&fg=000000$

## Distance traveled from the Velocity-Time Graph| University Physics

The graph below shows the velocity versus time graph for a certain object. What is the distance traveled by the object between times t = 2 s and t = 8 s?