Integration and Differentiation

Welcome to the "Integration and Differentiation" category of Questions LLC! Whether you are a math enthusiast, a student studying calculus, or simply curious about the concepts of integration and differentiation, you've come to the right place. This category is designed to provide a space for all your queries related to these fundamental operations in calculus. From understanding the basics to tackling advanced techniques, our community is here to help you unravel the intricacies of integration and differentiation. So, dive in and explore the wealth of questions and answers to quench your intellectual curiosity.

Questions (20)

if f(1)=12 and f' is continuous, what is the value of f(4)?integral from 1 to 4 of f'(x)dx = 17 IF the integral of f'(x) dx from
1. 3 answers
2. asked by Nicole
3. 3,044 views
If the function f has a continuous derivative on [0,c], the the integral(o to c) of f'(x)dx=a)f(c)-f(0) b)absolute value (f(c)-
1. 4 answers
2. asked by david
3. 6,094 views
f is a continuous function with a domain [−3, 9] such thatf(x)= 3 , -3 ≤ x < 0 -x+3 , 0 ≤ x ≤ 6 -3 , 6 < x ≤ 9 and let
1. 5 answers
2. asked by Skyler
3. 6,507 views
(I know it looks like a lot but it's just 10 questions)(part 1 [It also explains my situation]:
1. 4 answers
2. asked by George
3. 1,929 views
Please check my answers! I'm bad at explaining/showing my process and I'm trying to improve so if there's anything you think
1. 5 answers
2. asked by Calculus (Check answers)
3. 1,614 views
The graph of the function f is shown below with domain [-12, 10]. Let g(x)=integral[-12,x] f(t)dt.desmos calculator code:
1. 1 answer
2. asked by Anonymous
3. 77 views
1. Evaluate ∫(0-4) x/√x^2+9 dx2. Given F(x)= ∫(0-x) t√t^2+4 dt, find F'(x)
1. 1 answer
2. asked by Yumin
3. 357 views
Find dy/dx and d2y/dx2 if y= definite integral sign where a= 1 and b= 3x1/(t^2+t+1) dt how do i even start. do i integrate and
1. 2 answers
2. asked by Eric
3. 466 views
If f(x)= ∫(21,x) t^5 dt then f'(x).my answer was 1/6 (21^6-x^6) it said it's wrong.
1. 5 answers
2. asked by LILY
3. 260 views
if you evaluate the integral of:t csc^2 t dt, is the answer -t cot t + ln|sint| + C Differentiate the answer to see if it is
1. 1 answer
2. asked by marsha
3. 402 views
intergral of (x^3 -4x + 3)/(2x) dxwould this be ln abs(x^3-4x+3) + C? I don't really understand how to solve this problem. d/dx
1. 1 answer
2. asked by Tammy
3. 1,101 views
Okay, how would you go about finding the area of a curve from 1 to 4, when y=2x+(2/(x^2))?? It's not like the problem I asked
1. 1 answer
2. asked by Me
3. 491 views
find the derivative of the functiony= integral from square root of x, to x cubed of (square root t * sin(t))dt
1. 1 answer
2. asked by Nicole
3. 491 views
The functions f and g are given by f(x)=√x and g(x)=6-x. Let R be the region bounded by the x-axis and the graphs of f and g,
1. 1 answer
2. asked by Jessy152
3. 948 views
Hi, I need urgent help with these 3 integrals problems ... been stuck on the questions and the deadline is Friday. Thanks a lot
1. 1 answer
2. asked by Blur
3. 888 views
1) Compute the indefinite integral: integral 2x ln(x^2 - 8x + 18) dx2) Note that x^4 + 1 = (x^4 + 2x^2 + 1) = (x^2 + 1)^2 -
1. 0 answers
2. asked by Daniel
3. 587 views
Find a curve through the point (1,1) whose length integral is given below.L= integral from 1 to 4 sqrt(1+(1/4x))dx Let the curve
1. 1 answer
2. asked by kavlo
3. 661 views
how can I determine the domain of a function h(x): integrate from 0 to 2x-1 f(t)dt, when the f(x) function is a graph shown and
1. 2 answers
2. asked by alex
3. 563 views
Match:A. r(1997)−r(1992) B. ∫19921997r′(t)dt C. r(1997) D. ∫19921997r(t)dt E. [ r(1997)−r(1992)/1997−1992] and
1. 1 answer
2. asked by Lena
3. 483 views
heeeeelp meeeee ...(a)find antiderivatives for the following functions : (i) e^5x sinh3x + 4x+6/x^2+3x+5 . (ii)
1. 1 answer
2. asked by weloo_volley
3. 444 views