4. Suppose f(x)dx = 2, f(x)dx= -5, and g(x)dx--5. Evaluate the following integrals, 2. g(x)dx = 7. (Simplify your answer.) S20ax- 2g(x)dx =| 21 (Simplify your answer.) Siow)- 1g(x)-f(x)]dx %3D (Simplify your answer.) 7. [7g(x)- f(x)]dx = (Simplify your answer.) Enter your answer in each of the answer boxes.

Q: oroper integral dx La -3 (x + 4)k

A: Improper integral problem

Q: 5. Evaluate the integral 2 c2x x2 (x² + 2y³) dy dx.

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: 7. Suppose | f(x) dx= 6 and f(x)dx=2. Evaluate the following integrals. 4 a) (-25(x)) dx b) 3f(x) dx

A:

Q: 1. S(x3/2 + 2x + 1) dx

A: consider I= ∫x32+2x+1dx

Q: I. Find the following integrals. – 8x +5)dx 2. [(-6x' +9x² + 4x - 3)dx 1.

A: 1. Consider the given integral. I=∫5x2-8x+5dx

Q: Evaluate the integral: e³+cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 2In3 + C (3e)3+ sinh2x B 2 + In3…

A:

Q: 4. Evaluate the given integral. |(x + 1)(x – 3)| dx -2

A: Solution:Given∫-20(x+1)(x-3)dx =∫-20(x2-2x-3)dx= ∫-20(x2-2x-3)dx= x33-2x22-3x0-2=0--83-4+6=23

Q: If 21 f(x)dx 9 - 55 and 21 g(x)dx = 30 – 55 and – 21 | h(x)dx = 35 55 what does the following…

A:

Q: Evaluate the integral: √ S - (9x²+7x) (x−1)(x+1)² dx = ← +C

A: Given; I=∫-9x2+7xx-1x+12dx   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: 1 Evaluate the improper integral dx. (x – 3)3/2' 3 -

A:

Q: 1. If f(x) dx = 3, evaluate [[1 + 21(x)] dx using the properties of interga 2. If f(x) dx = -2 and…

A: As asked we can answer question no 1 and 4 as below.

Q: 2. Identify which of the following integrals are improper: 1 1 dx 1 fin(x)dx 1 X +3 1 fe* dr -dp- 3

A:

Q: Can you help with this problem step by step?

A: We need to compute the given integral.

Q: S dx 2.

A:

Q: 2. a) Evalute the following improper integrals 6. dx 3 3

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

Q: 1. Evaluate the integral |(x² - 5)e*dx 8.

A: Given that: ∫0∞ x2 -5e-3x dx To find: The value of the given integral. Let I = ∫0∞ (x2 -5)e-3x dx…

Q: For which of the following integrals would the substitution method be effective? dx x² + 1 æ/1+x² dx…

A: Among the given options, Substitution can be used in both 1 and 2 but in third one the product rule…

Q: 2 4 Q3) Evaluate the integral || xe" dy dx 0 x?

A: LetI=∫02∫x24xey2dydxchange the orderI=∫04∫0yxey2dxdyLet∫0yxey2dx=x∫0yey2dx∫0yxey2dx=ey2[x22]0y…

Q: e*dx e -x +1

A:

Q: 1. Evaluate the integral of x2 (3 - 2x) dx if upper limit = 2 and lower limit = -1. а. 12 b. -12 C.…

A:

Q: iSy dx dy 3.

A:

Q: Q2:- Apply romberg's method to the integral of f(x) = nx*cos(-Tx to 2 with Tol = 10-4

A: Given function is f(x)=14πx4cos14πx, we have to integrate above function from 0 to 2. Formula for…

Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx A (3e)3+ sinh2x 2+In3 +C (3e)3+cosh2x B) 2+2ln3…

A:

Q: 13x? + 17 What is the indefinite integral of ) dx (2x+1)(x² + 4

A:

Q: 6) Evaluate the improper integrals ∞ 5 a) 5² (+ + e-") dx s (-x) е 2 7 5 b) ² = 8 dx 4x-8 2

A:

Q: 2 3. Evaluate the integral ||x dx -2 O 2 4

A:

Q: For problems 18 – 23 differentiate each of the following integrals with respect to x. - 2 V cos(t) +…

A: We will use Fundamental Theorem of Calculus to find Derivative of integral whose limits are function…

Q: The following integral is  The integral of g(x)dx from 7 to 2

A: The given integrals are,

Q: 2- What is the solution for this integral? x²e¯* dx a) e-*(x² – 2x + 2) + C b) -e-*(-x² + 2x + 2) +…

A:

Q: - Evaluate the following integrals Зх-5 dx (x-3)(x-1)2

A:

Q: Can i get help step by step with this problem?

A: Given:

Q: 4. Evaluate the following integrals. 3 е. X- 2x +2 dx 4x 1

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

Q: 3 4-3x S²³ So dx dy

A: To evaluate the given double integral.∫03∫04-3x dx dy

Q: 4. Evaluate the integral 3x2 + 13.x + 11 dx I (x+1)(x +2)²

A:

Q: 15 Find the integral | 2/x (1+x) dx.

A:

Q: 3. Find the integral. 2x dx x2 + 10x + 29 а.

A:

Q: 1. Evaluate the integral 2 dx x2 +4x + 20

A:

Q: 7 So Suppose f(x)dx = 6, f(x)dx =5, and g(x)dx = 8. Evaluate the following integrals. 2 2

A:

Q: 2. Evaluate the integral x(3 – 5x) (3x – 1)(x – 1)2 dx

A: To solve the following integral

Q: 1. When solving S x³ln(2x)dx = if u = ln(2x), dv = x³ then: du v = There is no need to compute the…

A:

Q: Evaluate the integral: e3+ cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 + C (3e)3+cosh2x B 2ln3…

A:

Q: I'm having trouble figuring out why the integral of e-3x dx is equal to (-1/3)e-3x. I do not know…

A: Given:    f(x) = e-3x

Q: 2. Evaluate the improper integral S₂ (5. dx (5-x)4/3 or state that it diverges.

A: The given integral,      ∫28dx5-x43

Q: How do I find the definite integral of these problems?

A: (a)

Q: If - 19 L f(x)dr = 12 - 91 and - 19 L. = 30 g(x)dx - 91 and 19 L h(x)dx = 35 - 91 what does the…

A:

Q: dx 28 – 12x – x X

A:

Q: 5. Evaluate the definite integral (1+lnx)² dx а. 1 dx. b. -1 2x+3

A: Explanation of the answer is as follows

Q: 4) Evalvate the integral E 4 1+x² dx

A:

Q: 1. Evaluate the integrals that converge: dx 2x ! dx (x2 + 5)3 b) a) 3-x - 00

A:

Q: (3x+5) dx x3 –x² –x+1

A: Consider the provided question,