Estimate the integral ∫15(top)3(bottom)(−x2+0.07x−0.9)dx using a right Riemann sum with 6 subintervals.

Estimate the integral ∫15(top)3(bottom)(−x2+0.07x−0.9)dx using a right Riemann sum with 6 subintervals.

Lets say, I have a cube with with Volume = a*a*a. I also have a sphere (hole) with coordinates X,Y,Z and radius r in the cube. My task is to slice the cube (perpendicularly to Y), when each...

I have been stuck on this integral for 3 hours. Here is what I have so far.. : https://ibb.co/mWAC7x

I feel that there should be another x in the problem so that u sub works, or something, as it is I believe it is a partial gamma function or something, but I know we should not learn those until much...

∫dx/(x+1) - ∫dx/(x+2) = log| (x+1)c/(x+2) |

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...

The question asks to estimate the area under the graph given the following table: | x | 2 | 2.5 | 3 | 3.5 | 4 | 4.5 | 5 | | y | 4 | 10 | 8 | 6 | 14 | 10 | 12 | a) Use Simpson's...

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=

∫10−10|x|dx∫−1010|x|dx =

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...

Use the divergence theorem to evaluate I=S∫∫(4x+3y2+z)dS, Where s is unit sphere x2+y2+z2=1.

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...

integral cccalculus with respect to 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...

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...

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

I need to form a logo using functions and then find the area of the logo but I don't know how to. The summary of the question is the direct question. Some logos we can choose from are the xbox...

this is a calculus prblem on anti derivatives and integrals. please help.

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...

Can someone help me solve for this indefinite integral?: (u^2 + u)/(2u^3 + 3u^2 + 1)^(2/3) Thank you!