Show that 2x2 +8x+14=2(x+2} +3| by completing the square. Hence, evaluate the V3 (x+2/2x? integral | dx. + 8x +14

Q: Use the method of completing the square to evaluate the integral. 2x +1 x* +2x + 101

A:

Q: 3x+1 2-2x+2

A:

Q: Evaluate the integrals ∫2 dx/√1 - 4x2

A:

Q: 7x² dx Vx² – 16 - +C

A:

Q: Evaluate the integral of 3dx/(2x^2 + 4) from 0 to 0.2 *

A:

Q: Evaluate the integral. dx xVx² + 3

A:

Q: Evaluate the integral. V3/2 19x2 dx V1 - x2

A:

Q: If substitution technique is used to solve the integral [(12.x+3x* )(10x² +x³ – 2)° dx then the…

A:

Q: Find the integral

A: To evaluate the integral: ∫x25-9x2dx Solution: ∫x25-9x2dx…

Q: Evaluate the integral. 3x2 2+ 4x3 dx 2 + 4x-

A:

Q: Evaluate the integral. | (7x2-6x +7) dx

A:

Q: Find The integral of The funchion 3172X+1 年2x4! dx 2X+3X41

A: =?

Q: Evaluate the integral. 7x3 dx = Vx2 – 25 +C

A:

Q: Find the integral. |(2x3 - 3x2 + x – 1) dx A x² + B 6x2 - 6x + 1 + C (c) None of the above x2 - x +…

A:

Q: Evaluate the integral: 9x + 43 -dx = 2x² + 17x – 9

A: Given: I=∫9x+432x2+17x-9dx for evaluating given integral, we substitute 9x+43=944x+17+194 so,…

Q: Evaluate the integral. .V3/2 35x2 dx V1- x2

A:

Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

A:

Q: u. x + 3 2x³ - 8x -dx

A:

Q: Evaluate the integral of dx/sqrt(x2+4) without using the right triangle method.

A:

Q: Evaluate the integral dx (8x + 3)3 by making the appropriate substitution: u = 8х + 3 dx (8x + 3)3…

A: Recall:    ∫un du=un+1n+1+c ; where c is an integration constant.

Q: Evaluate the integral 3e2x 2e-2x 1 In vZe-2x + /2e-4x – 3 +C 2/7 - 2x 2/3e2x - 2e-2x+C -등 Arcsinl…

A: Explained below

Q: Use the method of completing the square to evaluate the integral. 2x + 1 x + 2x + 17

A:

Q: ( Evaluate the integral: 64x² – 49 -dx -

A: Given∫64x2-49x3dx

Q: Prove using the IVT. ex + In x = 0 has a solution.

A: IVT: If f is continuous on the closed interval [a, b], f(a) ≠ f(b) and k is any number between f(a)…

Q: Find the integral. Show complete solution dx 4. Vx(1+x)

A: ∫1x(x+1)dx Substitute :               u = x ⇒ dudx = 12x               ⇒ dx =…

Q: Evaluate the integral. VZ/2 dr V1-2

A: In this question we have to evaluate the Integral.

Q: Show that 3x2 +6x +2 = 3 (x+1) - by completing the square. Hence, evaluate the 2 integral dx. V3x? +…

A:

Q: b) Show that 2x² + 8x + 14 = 2 (x + 2)° +3 by completing the square. Hence, evaluate the integral-…

A: Use integration rules

Q: When integrating (x+3)/(2x^2-3x-3), can I rewrite as integral of ((2x^2-3x-2)^-1)*(x+3).

A: Consider the given integral function.

Q: Use the Midpoint Rule withn= 3 to approximate the integral %3D 13 (- 9z - 3a")daz 9x 3x) dx

A:

Q: 1. Use the Table of Integrals in the back of your textbook to evaluate ∫11dx/x^2√16x^2+36 a.Perform…

A:

Q: Find the integral. dx 3- 2х A 글메3-2x+C B -글 미 3-2지+ C c) 2 In 13 - 2x| +C D) - 2 In 13 - 2x| +C

A:

Q: Use the Trapezoidal Rule to evaluate the integral fx-¹dx. 1 2|3 NIC 34 2

A: We have to evaluate the integral ∫12x−1dx by using the trapezoidal rule. Here, a=1 and b=2 And…

Q: Evaluate the integral. V36 – x² dx = 18sin- +xV36 – x² + c V36 – x² dx = 36sin--xV36 – x² + C / V36…

A:

Q: Evaluate the integral

A: ∫xndx=xn+1n+1+C

Q: Evaluate the integral. S- dx 8 =, x> 7 V49x2 - 64

A: Solution-

Q: Calculate the integral. 2x° (x + 2)²dæ

A:

Q: (x – 3) V 6x – x²dx -

A:

Q: Evaluate the integral. 5x2 +3x- Vx - 2 dx 5.

A: topic - definite integration

Q: Evaluate the integral. 2. (9x2 - 8x + 6) dx

A: the Integration is a process of finding the anti derivative of a function. There are basically two…

Q: Solve the integral: eln(2x²+3 +3x-4)³( (4x + 3)dx (2x²+3x+4)² + C A 4 (2x²+3x+4)*(4) 3 + C eIn(2x² +…

A:

Q: Solve the integral: Seln(2x² + 3x −4)³ (4x + 3)dx eln(2x² + 3x-4)³ (4x+3) 3(2x²+3x-4) A + C…

A:

Q: Evaluate the integral. dx xV 49x2 - 6

A: Given that: ∫dxx49x2-6

Q: 2. Use the Table of Integrals in the back of your textbook to evaluate ∫11dx/x^2√16x^2+36 a.Perform…

A: While solving this indefinite integral, we need substitutions twice.

Q: Evaluate the integral. 8*V1-x² dx x³V

A: Let, z=1-x2dz=-2xdxdx=dz-2x When x=0, then z=1 When x=1, then z=0

Q: b) Show that 2x2 +8x +14 2(x+2) +3 by completing the square. Hence, evaluate the integral dx. (x…

A: Given that: ∫3(x+2)2x2+8x+14dx

Q: 4. Evaluate the integral: /2 2x 1/4 /1. V4 V1- x²

A:

Q: Calculate the double integral. 3ху2 11 3xV²_ DA, R = {(x, y) 10 ≤ x ≤ 3, -2 ≤ y ≤ 2} d R + 1

A: We have to calculate the double integral∬R3xy2x2+1dA R={(x,y)∣0≤x≤3,-2≤y≤2} In order to find the…

Q: Use the method of completing the square to evaluate the integral. 2x + 1 dp- x + 2x+ 17

A:

Q: Find the integral. [(3 - 7x° + 5) dx 7 OA. 9x° -**5 7x* +5x +C O B. °-** 7 + 5x +C OB. Oc. 9x°. -**…

A: According to the properties of integration we have: ∫[f(x)±g(x)] dx=∫f(x) dx ± ∫g(x) dx