Ask a New Question

Asked by James

Suppose F(t) is an antiderivative of t^{3}. Then F'(t)= t^3.

According to the Second Fundamental Theorem of Calculus,
x
∫ (t^3)dt = ???
1

Answer using the function F
8 years ago

Answers

Answered by Steve
F' = f(x)dx/dx - f(1)d1/dx
= t^3 - 0
= t^3
8 years ago

Related Questions

suppose that someone has said that the equation connecting points ((-1,1) and (2,3) is y= 2/3x + 5/3... Suppose you want to have $5,000 saved at the end of five years. The bank will pay 2% interest on you... (12) Suppose N – 60,000, n =15,000, and s =50 (a) compute the standard error of mean (x) using... Suppose you have a hot cup of coffee in a room where the temp is 45 Celcius. Let y(t) represent the... Suppose that |a-b|+|b-c|+|c-a|=20. What is the maximum possible value of |a-b|? suppose Y=100 is fixed,suppose the consumption function is c(Y-T)=20+M(Y-T), where M is constant be... Suppose that 9.6 mL of 1.5 M KOH(aq) is transferred to a 250 mL volumetric flask and diluted to th... Suppose cos(u)=3/5 and sin(u) is positive. sin(u)= sin(u−π)= cos(u−π)= sin(u−π/2)=... Suppose that first-, second-, and third-place winners of a contest are to be selected from eight st... How do you get the antiderivative for C'(x) = 20-(x/200) to be complete when I only know that I'm us...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use