Solve the Problem by Integration $\mathrm { i }$ (In A) as a Function of the Time

question 183

Multiple Choice

Solve the problem by integration.
-The current $\mathrm { i }$ (in A) as a function of the time $t$ (in s) in a certain electric circuit is given by $i = \frac { 8 t + 4 } { 4 t ^ { 2 } + 4 t + 1 }$ . Find the total charge that passes a given point in the circuit during the first second.

• A) 0.549 C
• B) 8.789 C
• C) 2.079 C
• D) 2.197 C

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Definitions:

Carpal Bones

Eight small bones that form the wrist joint, connecting the hand to the forearm.

Tarsal Bones

A group of seven bones in the foot located between the lower leg bones and the metatarsal bones, contributing to the foot's structure and movement.

Spina Bifida

A birth defect where there is an incomplete closing of the backbone and membranes around the spinal cord, varying in severity and potentially causing physical and intellectual disabilities.

Lumbar

Pertaining to the lower region of the spine, encompassing the five vertebrae situated between the rib cage and pelvis.