TylerU5626 TylerU5626
  • 15-09-2018
  • Mathematics
contestada

Evaluate the integral. (sec2(t) i + t(t2 + 1)3 j + t2 ln(t) k) dt

Respuesta :

ApusApus ApusApus
  • 03-10-2018

We have been given a vector valued function:

[tex]sec^{2}(t)i+t(t^{2}+1)^{3}j+t^{2}ln(t)k[/tex]

In order to evaluate the integral of this vector valued function, we will integrate each component of the vector valued function.

[tex](\int sec^{2}(t)dt)i+(\int t(t^{2}+1)^{3}dt)j+(\int t^{2}ln(t)dt)k[/tex]

Upon integrating each of the components, we get:

[tex](\int sec^{2}(t)dt)i+(\int t(t^{2}+1)^{3}dt)j+(\int t^{2}ln(t)dt)k\\\\(tan(t)+c_{1})i+(\frac{(t^{2}+1)^{4}}{8}+c_{2})j+(\frac{t^3(3ln(t)-1)}{9}+c_{3})k[/tex]


Answer Link

Otras preguntas

(√17+3√48)-(√17-3√48)
Select the correct text in the passage. Which sentence in this excerpt from Patrick Henry's famous "liberty or death" speech at the Second Virginia Convention i
Vanessa has a business making necklaces. She can make 10 necklaces for $25; however, it will cost her $29 to make 11 necklaces. Her marginal cost is: $29.00. $5
Find the length of the segment indicated. . 9.6 10.2 <
The terms __________ are used to refer to a fundamental shift in society when cities became more prevalent and relationships became less intimate. A. modernizat
1. __________ is an example of an electrical device.
BRAINLEST IF CORRECT!!!!
The price of Pepsi stock was $0.65 in 1981 and $27.56 in 2011. What was the average rate of change for the stock per year from 1981 to 2011 rounded to the neare
lim x ->0 ln(1+5x)/2x
HELP PLEASE ASAP!!! I CAN'T FAIL PHYSICS xoxo thank you!