129 Answered Questions for the topic Integrals

Integrals Math Science Physics

12/05/17

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... more
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... more
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... more
Integrals

05/23/17

Integration of 1/(x^2(2+x^3)^(1/3)) dx

integral cccalculus with respect to dx
Integrals Calculus Derivatives

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... more

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... more
Integrals Calculus

03/20/17

How do you solve this equation

Find the integral of sec2(x)tan2(x)dx

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.... more
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

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... more
Integrals Math Calculus Math Help

04/28/16

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... more

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!

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:... more

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... more
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... more
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.

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... more
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... more

Find area under the curve

Find the area under the curve h(x)=(3x-2)^3 from x=1 to x=2

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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