Find the Integral $\int \left( 4 t \mathbf { i } + 6 t ^ { 2 } \mathbf { j } + 4 \mathbf { k } \right) d t$

question 27

Multiple Choice

Find the integral $\int \left( 4 t \mathbf { i } + 6 t ^ { 2 } \mathbf { j } + 4 \mathbf { k } \right) d t$ .
Select the correct answer.

• A) \(4 \mathbf { i } + 12 t \mathbf { j } + \mathrm { C }\)
• B) \(4 t \mathbf { i } + 6 t ^ { 2 } \mathbf { j } + 4 \mathbf { k } + \mathbf { C }\)
• C) \(2 t ^ { 2 } \mathbf { i } + 2 t ^ { 3 } \mathbf { j } + 4 t \mathbf { k } + \mathbf { C }\)
• D) \(4 t ^ { 2 } \mathbf { i } + 6 t ^ { 3 } \mathbf { j } + 4 t \mathbf { k } + \mathbf { C }\)

---

Definitions:

Source

The origin from which something comes from, such as data from a sensor, or the initial site of information before it is distributed or used.

Mask

In computing, a method used to control which bits in a byte or word of data are allowed to pass through or be modified.

Destination

The intended final point or place to which something is sent, directed, or transported.

Timer Program

A software routine that allows a computer or device to execute a function or event after a specified interval of time.