Match each general antiderivative with its rule xn+1 а. dx n + 1 dx, n + 1 b. (п + 1)2^+1 С. dx In(a) 2 dx d. x2 e. e* dx f. In|c| g. 0 h. a" In(a) a*+1 i. x +1 j. kx

Q: Find the indefinite integral using integration by parts with the given choices of u and dv. x cos 9x…

A:

Q: Use Simpson’s Rule with n = 4 to approximate ∫1  ex^2dx

A: The given function is continuous on the interval [0, 1], then using Simpson’s rule to find the…

Q: •12 Evaluate the integral dx dy by reversing the 3 order of integration.

A: To evaluate: The integral of ∫012∫y34ex2dxdy by reversing the order. Explanation: Consider the image…

Q: 6. Evaluate: dædy Hint: Use dydx as order of integration.

A:

Q: evaluate using Integration by Parts.

A:

Q: Suppose that Fex): is an aniderivative ex-1 of fcx) that Fox) For all x #0. Evalugre the improper…

A: Anti derivative is integral. If F(x) is an anti derivative of f(x) then ∫f(x).dx = F(x) + c…

Q: Can you help step by step please?

A:

Q: 14 Find the integrals using integration by parts. a. fx(x + 4) dx c. fx'e"dx e flnx'dx d. [(In x)°…

A: (g) The given integral is, I=∫lnxxdx Rewrite as, I=∫xlnxdx Here, ∫udv=uv-∫vduu=lnx and du=1xdxdv=xdx…

Q: SOLVE IT BY USING INTEGRABLE COMBINATIONS BY INTEGRATING FACTORS FOUND BY INSPECTION y(2x − y +…

A:

Q: Find the indefinite integral using integration by parts with the given choices of u and dv. [x x cos…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 4 zV 64z2 dz 49

A:

Q: Sev dx (Hint: Integrate by parts with u-substitution)

A: To evaluate I=∫exdx

Q: use integration by parts to establish the reductionformula.

A: Integration by part formula: ∫uvdx=u∫vdx-∫u'∫vdxdx

Q: Find each antiderivative using any method. 33. + 4 dx r[( In x)³ – 4( In x)²+ 5] 34. dx, x > 0 8x +…

A: Note: As per Bartleby rule, only one question can be solved at a time. So, kindly post other…

Q: Evaluate efsin(1 sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression…

A:

Q: equiva ntegra al: dy dz 3 zty of In(2x) – In(x + 3) dæ | Of In(x + y) – In(y+3) dæ Of In(2y) –…

A:

Q: Evaluate the integral dx (x + 1)(x² + 1) Sz

A: The integrand can be written as:…

Q: 1 S = 1 + dx y dx = 2n ---Select--- v 1 + 1 dx x + 1 00 = 2n dx ---Select--- v Rather than trying to…

A: Please see the below picture for detailed solution.

Q: 5. Evaluate S (tan(2y) + cot(2y))² dy using integration by algebraic substitution.

A:

Q: Find the antiderivative of dx / (25 + 4 x^2) * O (1/2) arctan (x/5) + C O (1/10) arctan (2x/5) + C O…

A: An antiderivative is an integral process that can help a function to get back into its parent…

Q: Find the indefinite integral using the Chain Rule/U-substitution. 6x dx x2+5 3. 4. S 7xv3x² + 8 dx

A:

Q: 1) Express , 4xyz dV , where E = [0,1] x [0,2] x [0,3] by using different orders of integration.…

A: In the given question we have to find the integration ∫∫∫E4xyzdVwhere E=[0,1]×[0,2]×[0,3]  is the…

Q: 1) Express , 4xyz dV , where E = [0,1] x [0,2] x [0,3] by using different orders of integration.…

A:

Q: Evaluate the integral ∫(5x -1)2 dx by two methods: first square and integrate, then let u = 5x - 1.

A: To evaluate the integral ∫5x-12dx

Q: 3. Evaluate the integral 3 dx dy by reversing the order of integration.

A:

Q: 2. Integrate the following function (a) analytically 3. I- fxe2* dx and numerically using n = 4 (b)…

A: First determine the integral using integration formula's. Then use the formula of Trapezoidal and…

Q: Find the total differential of z= f(x, y), where f(x, y) = In Use * for multiplication of variables,…

A:

Q: 3 a) Evaluate iNT=x² % dz dydx 1-x²-y² e-3(x²+y²+z²)ž

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 12. Approximate So dx with adaptive quadrature, simpson's rule, and Romberg integration

A: Given data I=∫01exx13dx

Q: Exatuate the integral pvz O√3 √4-X² √EX 9 (√x ² + y² dy dx

A: Evaluation of double integral by conversion to polar coordinates.

Q: x³e-x*dx 1. "Since the integral ( Select ] [ Select ]

A:

Q: Step by step

A:

Q: Determine the value of the integral: integral sign:  (x^2)(e^-x^3)

A:

Q: 13. Find the integral using the u substitution method Jx(x+1)*dx

A: Solution of question as follow

Q: Evaluate the iterated integral. (2х — 4у) dy dx Exact number, no tolerance. (2x – 4y) dy dx = i -1

A: The given integral is: I=∫111∫-11(2x-4y) dy dx

Q: 02:- By using integration by part, find :- (Choose two only) 1- Sxe-* dx 3-S(1+ x²)e¬*dx 2-f Inx…

A: As per the company guideline's we are supposed to answer first question as mentioned by the…

Q: 3 sin 2t 1. If f (x) = Jx Ve2+Int dt, find f'(x) Jx Jt?+Int

A:

Q: Use Simpson’s Rule with n = 4 to approximate ∫1  ex^2dx 0   (integral from 0 to 1 of e^x^2 dx)

A:

Q: Find the general indefinite integral: 1) S(x13 + 7x².5)dx 2) S Vx5 dx 3) Sv(v² + 2)²dv 4) Sx³cos(x*…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: xyz dy dz dx -8 -V 64 – x2 xyz dz dy dx 64 x2 -8 Evaluate one of the triple integrals. xyz dV =

A:

Q: Evaluate fsin( sin (Inx) dx Integration by parts will be used repeatedly. What is the expression…

A: We have to find solutions

Q: Use the appropriate technique of integration to compute the following antiderivatives. Show complete…

A: The given integral is: I=∫2x-x2 dx

Q: 2. Determine the values of ʼn and h required to approximate fx²sin (-x) dx to within 10% using the…

A:

Q: ormulas to compute the following antiderivative. x-1 x² -dx.

A:

Q: Give the general antiderivative for the integrand in the definite integral (cos +1)dx. cos x

A: Simply integrate and put the limit than simplify.

Q: 1) Express , 4xyz dV , where E = [0,1] × [0,2] x [0,3] by using different orders of integration.…

A: See the attachment

Q: 3. Which antiderivative of y = (1 – x²)-1 should we use to evaluate the integral (1 – x²)-' dx?

A:

Q: 4. Find the total differential of z = In(x + y), x= w, y = w². By how much will z change if w…

A:

Q: FCx) is continoos on L3,5) and S Fex) dx= 5 Evaluate integral

A: