129 Answered Questions for the topic Integrals
I have a question regarding integrals, which I have not been able to solve
The function to be integrated is the following:
f(x)=(√x)/(x2 + ln(1+x))
In addition to this we were asked to confirm if the function converges or not. When plotted it is observed to tend...
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Integrals Geometry
11/19/17
Draw a graph of the signed area represented by the integral and compute it using geometry.
∫10−10|x|dx∫−1010|x|dx =
Integrals
11/19/17
Calculate the integral below, assuming that ∫50f(x)dx=5∫05f(x)dx=5 and ∫50g(x)dx=12∫05g(x)dx=12. ∫50(6f(x)−13g(x))dx=
Calculate the integral below, assuming that ∫50f(x)dx=5∫05f(x)dx=5 and ∫50g(x)dx=12∫05g(x)dx=12.
∫50(6f(x)−13g(x))dx=
07/11/17
What M value should I use? (how do i find it)
I was asked to calculate the area between two functions, y=e^x and y=x using midpoint riemann sums from 0-2 with n=4. so i found my answer by subtracting the second sum from the first.
The second...
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Integrals Summation
05/26/17
Sigma notation with area under a curve, lower and upper rectangles
I got the answer to this problem from my teacher but I don't understand why that's the answer:
y=√1+x^3 , domain 1≤x≤2 and with 50 intervals therefore width is 1/50.
The Sigma notation for the...
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05/12/17
What is the integral of a function: (e^(-x))cos(x/2) dx ??
The answer which I got was (e^(-x))sin(x/2)-cos(x/2)(e^(-x))
However all the math solvers on the internet are giving different answers. Could you clear things up and tell me a definite...
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05/09/17
Net change/word problem/integrals
Water flows into a reservoir at a rate of 1500 + 7t2 gallons per hour. since there is a tiny hole in the reservoir, the water leaks out at a rate of 4t + t2 gallons per hour. What is the net change...
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09/15/16
What's wrong with this integral?
I'm trying to integrate (x)/(d+L-x) respect to x but I get -(d+L)ln(d+L-x) + d + L -x. The correct answer is -(d+L)ln(d+L-x) -x. What I did was to change the variable u = d + L -x. Then du= -dx....
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Integrals Calculus 2
06/28/16
integral of (x-2)^-3/2
integral of quantity x-2 raised to three halves
need help asap
thanks
06/23/16
Definite Integral with U-Substitution
I have an integral with ∫ (b=0, a=-1) and the inside function is (2t)/[(3+t2)3]dt. The directions tell me to "Evaluate the definite integral by making a u-substitution and integrating from u(a) to...
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Integration question involving cosh^-1???
Evaluate the integral (1/sqrt(x^2 - 5))dx on limits of 3 to 4, using the formula: integral of (1/sqrt(x^2 - a^2))dx.
Recall that this formula was found by using the substitution x = a cosh t, and...
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04/22/16
Indefinite Integral
Can someone help me solve for this indefinite integral?:
(u^2 + u)/(2u^3 + 3u^2 + 1)^(2/3)
Thank you!
04/21/16
Indefinite/Definite Integrals
I need help solving a couple of indefinite/definite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to do these ones:First problem:...
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04/21/16
Indefinite Integral
I need help solving a couple of indefinite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to due these ones:
First problem:
(integral...
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Integrals Calculus
04/16/16
A forest fire covers 2010 acres at time t=0. The fire is growing at a rate of 8vt acres per hour, where t is in hours. How many acres are covered 24 hours later
A forest fire covers 2010 acres at time t=0. The fire is growing at a rate of 8√t acres per hour, where t is in hours. How many acres are covered 24 hours later?Round your answer to the nearest...
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Integrals Calculus
04/16/16
Find the total area between y=x+14 and y=4x+3 between x = 0 and x =2.
Find the total area between y=x+14 and y=4x+3 between x = 0 and x =2.
03/13/16
Evaluate the integral below.
Evaluate the integral below.
∫_0^1¦∫_y^(2−y)¦ ∫_0^(2−x−y)¦ xy dz dx dy
Integrals Calculus
03/03/16
Definite integral
What is the definite ∫((x2-3x+2)/(x+1)) ?
I tried dividing this but I didn't know what to do with the remainder.
02/02/16
Cubic curve integral - area enclosing curve and x-axis
The curve is x^3-6x^2+11x-6. I have to prove that the two regions enclosed between the x-axis and the curve are equal. Given is, that the curve cuts the x-axis at x=1,x=2 and x=3. I tried finding...
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Integrals Calculus
12/13/15
Urgent! Calculus Help Please!
1. Evaluate the integral S-12 f(x)dx, when f(x)=3-x3 when x is less than or equal to 1; f(x)=x2 when x is greater than one.
2. Evaluate the integrals using the FTC 1.
(a) S-2-1...
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12/01/15
Find average value of the function!
Find average value of the function f(x)=3x^2 on the interval 1≤x≤3.
Integrals Antiderivative
11/18/15
what is the antiderivative of: the cubed root of x +5/x^6
this is a calculus prblem on anti derivatives and integrals. please help.
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