![If continuous function on [a,b], the function 7 defined by g(x) f(t) dt alasb i anti derivative of fo that is gla) of (a) on](http://img.homeworklib.com/questions/bc023940-1307-11eb-bf02-75993d00dedc.png?x-oss-process=image/resize,w_560)
The Fundamental Theorem of Calculus tells us how we can calculate the anti-derivative of any function...
Using part 1 of the
Fundamental Theorem of Calculus to find the derivative of the
function.
11. (21 points) Using part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (a) f(x) = [ 71 – dt (b) $(a) = Sie a
Find the derivative using the fundamental Theorem of Calculus, part 1, which states that it (x) is continuous over an interval [a, 01, and the function FOX) is defined by FO) - , then F-xlover [a, b]
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. Lv 82 (c) J - +1 도 Vx+8 18 O2l2+1)
Using part 1 of the
Fundamental Theorem of Calculus to find the derivative of the
function.
(b) f(x) = بدايه dt (c) 3x+1 f(x) = st sin(+4) dt
2. The Fundamental Theorem of Calculus is a very powerful theorem, but relies on us being able to elementary antiderivative (that is, an antiderivative made up of elementary functions). However, it does have an antiderivative since it is continuous, and it is very important in probability, statistics, and engineering. Define the error function to be dt. erf) (a) Show that /erfb) - erf(a)] (b) Show that the function y = ezer(z) satisfies the differential equation 2
2. The Fundamental Theorem...
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. F(x) = ° V2 + sec(26) de [tine. [° v2 + sec(24) d = - [*v2 + secl 2) d] F'(x) Need Help? Read It Watch It
11. (7 points) By Fundamental Theorem of Calculus the derivative of a function g(x) = fik sint dt is : A. sina B. cost+sint c. sinx-cosa D. None of the above
Ince ft) dt, then Fx) = fx) over Find the derivative using the Fundamental Theorem of Calculus, part 1, which states that if (x) is continuous over an interval [a, b], and the function F(x) is defined by F(x) Tabl d dr dx
(4 points) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (6 sin^(t) + 2) dt g'(x) =
The Fundamental Theorem of Calculus says that f(x)dx = F(a) – F(b) provided f = F" is continuous on (a, b). Select one: a. True b. False