Solve the Problem by Integration $= \frac { 0.0040 \left( 8 t ^ { 2 } + 15 t + 75 \right) } { ( t + 5 ) \left( t ^ { 2 } + 15 \right) }$

Multiple Choice

Solve the problem by integration.
-By a computer analysis, the electric current i (in A) in a certain circuit is given by i $= \frac { 0.0040 \left( 8 t ^ { 2 } + 15 t + 75 \right) } { ( t + 5 ) \left( t ^ { 2 } + 15 \right) }$ , where $t$ is the time (in s) . Find the total charge that passes a point in the circuit in the first $0.25 \mathrm {~s}$ .

A) 0.0002 C
B) 0.0051 C
C) 0.0010 C
D) 0.0049 C