Integrate using an appropriate integration technique. c) ⌠ [2,−2] dx/4 + x2

Q: Evaluate the integral: fe2 /1+ e2 dx

A:

Q: ! 6-Find the value of the integral * U x3/2 e-x dx

A:

Q: Evaluate the integral dx (3x + 15)²’ by making the appropriate substitution: u = dx + 15)?

A: To evaluate:∫dx3x+152

Q: -1-y 3) Evaluate the integral dxdzdy?

A:

Q: calculate the integral -2x+4 I=S (x2+1)(x-1)² -dx

A:

Q: Evaluate the integral dx (5ӕ + 10)2 by making the appropriate substitution: u = dx (5x + 10)? II

A:

Q: (x – 3y + 3)dx + (3x + y + 9)dy = 0

A: Given differential equation, (x-3y+3)dx + (3x+y+9)dy =0

Q: Exercises (14): Evaluate the following integrals 1. dx 2x- x2 2. dx V4x2 – 3

A:

Q: 4- 2x Evaluate the following integral : dx 2x +4,

A: The answer is π/3.

Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

A:

Q: Evaluate the integral. dx a > 0 (a² + x²j3/2?

A:

Q: Evaluate the integrals: cos2x-1 а. cos2x+1 dx b. S- x (Iпх)5 1 S 2-**x?dx с.

A: Topic-. Integration.   Note - as per our guideline only first three subparts to be solve others can…

Q: Using an appropriate substitution, 3 the integral S dx equals: /1-4 (х-1)2

A: Here we have to evaluate I=∫31-4(x-1)2dx

Q: (a) Define a substitution variable u and write / x(x +1)*dx in terms of u. Do not solve the…

A: detailed solution is given below

Q: Evaluate the integral. dx 4 a > 0 (a² + x²)3/2?

A:

Q: Solve the integral equation F(x) cos px dx =. [1-p,0sp 1.

A: Since you have asked multiple questions, we will answer the first question. If you need answer for…

Q: * = cos(x + y), when x = 0,y = %3D dx

A:

Q: Reverse the order of integration in the following integral. 7 14-2x !! f(x.y) dy dx y14-2 Reverse…

A: From the given integral; I=∫07∫014-2xfx,ydydx Now find the x-intercept and y-intercept.…

Q: (2y² + 4x²y)dx + (4xy + 2x³)dy = 0

A:

Q: 18x? Evaluate the integral: -dx V49 – x2 -

A:

Q: Calculate the integral: dx J (e² – 4)(e* + 6)

A:

Q: To integrate x3x² dx' Ox хех2 242 x² OX we apply integration by parts and in the form u dv, dv is…

A: We have to determine the integral

Q: |1-y2 ху Q3. Evaluate the double integral dxdy /1– y²,

A: We have to find solutions

Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

A:

Q: What are the right parts (u & dv) must be choose to solve the integration Sx²e** dx by using…

A:

Q: Q3: Reduce the integral Sx³J2(x) dx to integration in terms of Jo(x)

A: To find - Reduce the integral ∫x3J2x dx to integration in terms of J0x.       Formula used - Bessel…

Q: 2e Evaluate the integral dx 2x +3

A:

Q: dx Integrate: J. 3n B. A. EIN

A:

Q: Evaluate the integral dx (2a + 6) by making the appropriate substitution: u = dx (2a+ 6)°

A: I have use the substitution

Q: 2 Calculate the integral: dx e" V11 + e2*

A:

Q: 3. Use integration by substitution to perform the indicated integrations x2 a. J dx xp. x2+1 cos (x)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: In'(r) da. integration by parts (a)

A:

Q: Apply the appropriate integration techniques to evaluate 9x? dx S- а. b. fxsin dr. 2 c. f(2x – 8)°dx…

A:

Q: x? Use the residues to evaluate the improper integral: -dx . (x² + 1)(x² + 4)

A: According to the given information, it is required to evaluate the improper integral using residue…

Q: 6. Change the order of integration and evaluate the integral (**2y+1 dxdy. r+1

A: ∫01∫0y+4 (2y +1)dxdy/(x +1) now change the order of integration ∫0y+4∫01(2y +1)dydx/(x +1) ∫0y+4[(y2…

Q: 3-Evaluate the integrals in Exercises: 2√3 So dx √4 + 4 + x² 0 4- 6 dx 5. Sot v Jo V1 + 9x² cos x dx…

A: We have to evaluate the integrals.

Q: 2. Use symmetry to evaluate the given integrals. -200 A) S, 2x5 dx -200 В) cos х -п/4 B) S"/ cOS x…

A: A) ∫-2002002x5 dxB) ∫-π4π4 cos x dx

Q: dx 3x2. dy ' y + 1 7(у + 1) 3 о

A: Let's find.

Q: 73. Use Integration by Parts, with u = In x and dv = x dx.

A: By parts integration formula is as ∫udv=u∫dv-∫∫dvdu  ....1

Q: Evaluate the integral: x² e3a dx

A: This question is related to Indefinite Integral, we will use Integration by parts formula to solve…

Q: 3. Evaluate Sy In(1+ y) dy using integration by algebraic substitution.

A:

Q: a) [ ]: Evaluate the integral (4x + 1) In x dx c) [ ]: Evaluate the integral 2 dx (x – 1)(x + 4) |

A:

Q: `y³e-2¥ dy

A:

Q: Evaluate the iterated integral. (x2 - 8y2) dx dy

A:

Q: 2х n evaluating J cos²(2x) Tx using integration by parts, identify the portion of the integrand to…

A:

Q: Evaluate the integral. B 4х- 3 dx J2

A: To evaluate:

Q: (b) Evaluate the integral | xe * dx. (1- x)?

A: Given : The integral is ∫ xe-x (1-x)2 dx .

Q: dx + (x – y + 4)²dy = 0

A:

Q: Step by step

A: To evaluate the below indefinite integral