3 Estimate dx using right endpoints for n = 3 approximating rectangles. 3 dx is approximately

Q: x² dx %3D Use right endpoints and = 10 rectangles to find an approximation of

A: Given, Use the endpoints and n= 10 rectangles

Q: dx 3 x + x

A:

Q: Calculate dy/dx. No need to expand answer. y=7x^2-9x+17/2x+4 dy/dx=

A:

Q: Evaluate dy/dx at x = 2.5, correct to 3 significant figures, given y= (2x^2+3)/In 2x

A:

Q: 1 dx J 74+4x²+4

A:

Q: What happens to the d/dx(X); after application of product rule?

A: The differentiation rule of power is,   The differentiation of any constant is,   Here, c is a…

Q: 2. Count 1-e-x2 dx x2 -1 to an accuracy of 3 decimal places after the comma!

A:

Q: Calculate TN and MN for the value of N indicated is 2. Vx2+3 dx, N=5 Round your answers to 5 decimal…

A: Please see the explanation below

Q: What is ſ e2x dx? 1+ex

A: Given :                      ∫e2x1+ex dx     Substitute u = ex+1  ,  dudx = ex…

Q: of e dydx

A:

Q: 19. What is the equivalent value of *Vx+ Tdx 20. In evaluating (&+ Idx x dx which one is to be used?…

A: The solution for the above question is as shown below.

Q: 4. Find an approximate value for fo In 1+x³| dx.

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: find the following intergral X^2+1/ X-1 dx

A:

Q: 3. Evaluate dx. Hence find the value of sinx dx. Va -x)

A:

Q: to determine the approximate value of v(1+x³)dx

A:

Q: What is the value of , x(x + 1)+ dx ?

A:

Q: find x for which = 0. dx

A:

Q: dy for log, 3* dx = esinh x.In siny Q1/ Find

A: The expression of the function is .

Q: Approximate 3 (x – 5) dx 0. using 4 rectangles, and right endpoints of each subinterval.

A:

Q: -2* dx

A: To integrate using tabular form.

Q: - 1 dx

A:

Q: 2x dx by taking n = 4 1+ x Use trapezoidal Rule to evaluate

A: trapezoidal rule

Q: Q5: Find dx for the following functions: (3) y = ex.sin² x In√x

A:

Q: This is a calc 3 question    change the order of integration to dx dy dz

A: The given region of integration is bounded by all three axis and the plane:  x + y + z = 4.

Q: | 2e0.1x dx

A: here we will use 8 rectangle i.e. n=8 with right Riemann sum to approximate value of rectangle and…

Q: Calculate MN and TN for the value of N indicated.

A: Solution Given∫0π2sinxdx   , N=6we need to find the MN and TN for the value of N indicated.

Q: 1+e* dx diverges 0.

A:

Q: 4 dx X-X-2Ą

A:

Q: Use n = 6 subdivisions to approximate the value of Vx +2 dx by the trapezoidal rule.

A: The given integral is ∫06x+2dx and the value of n is 6. Using the trapezoidal rule, approximate the…

Q: d. x" tanh 1 dx VX %3D

A:

Q: 1 Evaluate dx by using Trapezoidal rule. Hence obtain 1 + x2 he approximate value of .

A: I am attaching image so that you understand each and every step.

Q: 2x dx by taking n = 4. 1+x Use trapezoidal Rule to evaluate

A: on solving this we get

Q: Use the Product Rule to calculate e2*. dx

A:

Q: –1 dx

A: Solve the following

Q: Evaluate: (3x + 1)*dx = Blank 1 (use small letter, no space) S(3x+1°dx,

A: Given  ∫(3x+1)2dx Formula: ∫(ax+b)ndx = n(ax+b)n-1.(a)

Q: The approximate value of dx by using Simpson's rule is 0.3480, then the error in the approximation…

A: Given Approximate value of the integral by Simpson's rule(Vs) = 0.3480 Now we will find the actual…

Q: Sulve the Poll owing DiE (x'+) dy+ (2xy +) dx

A:

Q: x dx using Sim | size 0.3 is

A:

Q: dx x? – 4x + 5

A:

Q: valuate. (Be sure to check by differentiating!) 1 dx, x - 3+7x 3/7

A: Evaluate the given integral and check it by differentiation. ∫13+7xdx, x≠-37

Q: 2. Use the Midpoint Rule with n = 4 to estimate (x² + 1) dx %3D

A:

Q: Evaluate. Check by differentiating. /x+ 13 dx

A: ∫x3x+13.dx

Q: 7 dx = x3

A: ∫xndx=xn+1n+1+C1xn=x-n

Q: Approximate S“ In x dx using three rectangles of equal length and left end points. Is your estimate…

A: The given integral ∫1e2ln x dx, three rectangles and left end points.

Q: With n > 0, does x" dx get larger or smaller as n increases? Explain graphically.

A: Given: The given integral is ∫01xndx. Calculation: Use the integral formula, ∫xndx=xn+1n+1+C.…

Q: 5) Approximate -dx 1 +: Using the Trapezoidal rule and Simpson's rule with h=1. Find an error in…

A: We have to use both numerical methods for 4 subintervals as h=1 and (b-a)=4.

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.