Q.3 Find the double integral for Sl. x2 dydx, where R between y = -4/x y = -x and x = -4

Q: Q4 Evaluate the double integrals: [(x + + y+1)dxdy

A: Value of the giveen integral is

Q: Q#01: Find the complete integral of x²p? + y²q? – 4 = 0 using Charpit's method.

A: To find the complete integral of using Charpit's method.

Q: S,(4y³ +-) dy y3.

A:

Q: 7. Evaluate the following integrals: a. S cosh x sinh x dx b. dx S- 2 + 2x + 3 C.

A:

Q: Q6) Evaluate the following integral using by parts Method: |x³. In x dx %3D

A: To evaluate the given integral using integration by parts method y=∫x3. ln x dx Integration by parts…

Q: 2e" dx (e® – 1)2 1

A:

Q: I. Evaluate the following integrals. 1. Sx sin 3x? dx tan y 2. S dy 1-tan²y 3. S sec?(3 – 2t)dt

A:

Q: 2. Compute the following. When evaluating the definite integral, change the limits of integration.…

A: (a).  The given integral is: ∫x21+x35dx

Q: 2. Suppose | 29(r)dr = 10. Using linearity properties of integrals, calculate | (g(x) + 3)dx. 3

A:

Q: Evaluate the iterated integral below. π T/4 A lago S. 0 1 y cos (x) dy dx

A:

Q: Q4: Compute the following indefinite integral a) S(x³ + 4x² + 3)°(3x² + 8x) dx ( substitution) Inx…

A:

Q: Q.3 Find the double integral for L. x² dydx, where R between y = 1/x , y = x and x = 2 SR

A: From the given region, y varies from y = x  to y = 1/x and x varies from x = 1 to x = 2. The…

Q: I.Evaluate the ff. iterated integrals. • rel /2 ptan y sec y 1. x'cos' ydxdy

A:

Q: Q.3 Find the double integral for Sle x² dydx, where R between y = -4/x y = -x and x = -4

A:

Q: Q2/ Find the value of the following integrals: 1- |((x+y)dx + (y – x)dy), when cis given by, x = cos…

A: The integrals in the form ∫C(x+y)dx+(y-x)dy involve the integration over a particular curve C. In…

Q: Evaluate the 2 improper integrals attached with this question.

A: Given integrals are

Q: Q5. Evaluate the improper integral dx x(Inx)7

A:

Q: 4. S (y³+4)dy y(y+1)

A:

Q: Evaluate the indefinite integral. 15y dy J(y – 4)(y² + 4)

A:

Q: Q3: Find the integral for the following functions: - 1 dx 1)S- Vx2-2x+1 2) S 3cotx csc² (x)dx 3)…

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you…

Q: 9) Calculate the following integrals using the change of Variable (substitution) mothod: 96) 3+2 dx…

A:

Q: Determine the following indefinite integral. 1 dy 14y

A: To evaluate:   ∫114ydy Property of integration used, 1. ∫cfxdx=c∫fxdx                           …12.…

Q: too S. dx b +, X

A: ∫0∞ dxx2+9Formula:∫dxa2+x2=1a tan-1xa +C

Q: 2. Approximate the following integrals using Gaussian quadrature with n = 1 and n = 2. 1 а) -dx x² –…

A:

Q: 4. S dy y³-2y²

A:

Q: Q3: Find the integral for the following functions: - 1) 2 6 dx 2 x+2 2) S 3co t(x). csc²(x) dx 3)…

A: To find the given integral.

Q: Q.3 Find the double integral for L. x? dydx, where R between y = 1/x ,y= x and x = 2

A: From the given problem:   I=∫∫Rx2dydx   And curves are: y=1x; y=x and x=2   So the bounded region is…

Q: Q1) Evaluate the following integral using by parts Method y= Jinx² dx

A: Disclaimer: Since you have posted multiple question, we will be answering first question for you. In…

Q: 3 The integral ³³ g(x, y) dxdy is equivalent 3 to ₁ ³x g(x, y) dydx

A:

Q: 1 dx. Evaluate the improper integral 2 e x(Inx)*

A: We have to evaluate the improper integral.

Q: 1: Evaluate the following integral, |(5x - y) dx + xy dy where C is given by x = 9t, y = \t, 0 < t <…

A:

Q: Q4 Evaluate the double integrals: ||x+y+1)dxdy

A:

Q: 2e^xdx-3e^ydy=0   What is y'? What is its integral?

A:

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

A: Solution of question as follow

Q: Q1) Evaluate the following integral using By Parts Method: y = х.In(x3 + x) dx

A:

Q: S( z +1) e2² dz

A:

Q: Q15. Evaluate the integrals 1. (x² + y² + z?) dz dy dx

A: We have to evaluate the integral.

Q: Evaluate the following indefinite integrals. 1. Jx²dx 2. S(x³ + 2x)dx 3. S(a)dt :a = constant

A: Solving the problem by finding the indefinite integral.

Q: Which of the following integrals represents the length of the curve y = 2", 0<x < 3? 3 А. 1+ 22x dx…

A:

Q: Find the integral for the following functions: - dx 1) . Vx²-2x+1 2) ſ e3se c(x), sec(x). tan(x) dx…

A: Solution: The objective is to find the value of given integral

Q: Which of the following integrals represents the surafce area of the curve y = 3x +1 for 2 <x<5? S=…

A: Directly use the formula for the surface area of the curve and substitute the given equation of the…

Q: 1. Use Numerical methods to approximate the following integrals (a) (x +y)dxdy , n = m = 3

A: Trapezoidal rule: ∫cd∫abf(x, y)dxdy=h2fa, y+2fa+h, y+fa+2h, y+⋯+fa+n-1h, y+fb, ydy, where h=b-an.…

Q: accordingly, if the order of the integral given above is changed to dyd dx, what will the integral…

A:

Q: If the integral of /x + 1 dx from x = 0 to x = y is equal to 14/3 , what is y?

A: Substitution Method is used

Q: Use Simpson's Double Integral with n = m = 4 to approximate the following double integrals 2.2 2x…

A: Consider the given integral: The objective is to solve the given integral with Simpson’s rule at…

Q: 1. Approximate the following integrals using the Trapezoidal rule. c0.5 a. dx 1.5 x Inx dx c. 2x dx

A:

Q: Evaluate the integral. 10 r FIL √16 22 1 (x² + y²) 1/2 dy dx dz =

A: To evaluate the integral ∫04∫-44∫-16-x216-x21(x2+y2)12dydxdz

Q: 2. Evaluate the following Integral by using suitable method: 2y3 + y y4 + y2 + 1 dy -

A:

Q: /4 1.* Use the following property of the definite integral to estimate the definite integral:JCcos x…

A:

Q: Q5: Compute by part the following indefinite integral Sx. In x dx

A: Given  that a integration and we solve it by part. We know that integration of Xn  is -  = Xn+1/n+1.…