f(8(x)) dx f(g(x -a

Q: Evaluate the definite integral using the first four Newton-Cotes quadrature а. x cos xdx 3 x + 3 dx…

A:

Q: Evaluate the integral of x(x - 5)12 dx from 5 to 6

A: Given: ∫56x(x-5)12dx

Q: Evaluate the integral.

A: Given integral is We will use the following substitution to evaluate the integral.

Q: evaluate the integral using the methods covered in the text so far.

A:

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: Given function ,     f(x)= sin x

Q: Evaluate the integral of [x(x-5)^12]dx with limits from 5 to 6. Select the correct response: 83/182…

A:

Q: Evaluate the integral. [ f(x) dx where f(x) = 4 2 5-x² if -4 ≤ x ≤ 0 if 0 < x≤ 2

A:

Q: Evaluate the integral, if it exists.    ∫0T (x4 - 8x  +7) dx

A:

Q: Evaluate f(x)dx where f(x) is defined by f(x) = {* 2x ifx 2 Verify this definite integral by using…

A: Consider the function fx=2xif x≤21if x&gt;2 Here, the objective is to find the definite integral…

Q: use a geometry formula to find the exact value of the definite integral (-2x+4)dx on the interval…

A: To evaluate the definite integral from suitable geometric formula , (without using integration)

Q: Please show all steps

A:

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. V3 2 8 dx V1-x?

A:

Q: Evaluate the integral dx- 1+ x8

A: Given  ∫-∞∞x31+x8dx=?

Q: [ V4-x² dx

A: We have to evaluate the integral using fundamental thero

Q: Evaluate the integral from -n/2 to +t/2 of x² sin x.

A: Given integral

Q: X dx x² + 4x + 13 -2

A: Explanation of the solution is given below...

Q: Evaluate the integral. (Use C for the constant X - 7 dx x2 - 18x + 82

A:

Q: Evaluate the integral / f(x) dx, where -1 -{ if – 1 < x < 0 if 0 < x < 1 -X - f(x) = 1-VT - x²

A:

Q: Use a substitution of the form u = ax + b to evaluate thefollowing indefinite integrals.∫(x + 1)12…

A: Given: ∫12x+1dx for evaluating this integral we substitute u=x+1 now differentiate both side with…

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral:…

A: ∫1xx-1dx apply u- substitution method  let u=x-1u2+1=xdu= 12x-1· 1 dxdu=12x-1dxdx=2x-1

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given that  First fundamental theorem        Let f be a continuous function on [a,b] and F is anti…

Q: 4 dx = x² + 1

A: Given that, ∫-114x2+1dx=4[tan-1x]-11 =4[tan-11-tan-1-1]=4[π4-(-π4)]=4[π4+π4]=4×π2=2π

Q: Use symmetry to evaluate the following integral. | (6- |x)) dx - 1

A: The given integral,     ∫-116-xdx

Q: It can be shown that f e* dx = e – e. Use this fact and the properties of integrals to evaluate…

A: We have to find

Q: Express lim as a definite integral, f(x)dx. n 0 n i=1

A: Explained below

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Consider the following integral: ∫-22x2-4dx=F2-F-2 Fx=∫x2-4dx=x2+12+1-4x+C=x33-4x+C

Q: 3X + e

A: Given integral is,

Q: 3x2 + 2x +1 dx x2

A: See the attachment

Q: Evaluate the integral of (x^2)sin(x^2) dx as an exact answer.

A:

Q: (2 + x /T)dx

A:

Q: Evaluate the definite integral of f(x)=3x^2+2x+ x^(1/2) over the interval [0,1]

A:

Q: 5 -dx x² –4

A:

Q: Evaluate the following integrals using the Fundamental Theorem of Calculus 3 16 x+x² - x4 dx

A:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) x²…

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

Q: Evaluate the following integral using the Fundamental Theorem. x-1 dx

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Evaluate the definite integrals using the Fundamental Theoren 3. (a) (x+2)(x-2)dx (b) (4ex ) dx 1/4…

A:

Q: Evaluate the definite integral exactly, using the Fundamental Theorem. / (1² + 4x + 3)dx =

A:

Q: In order to evaluate the integral expression sin using simple substitution, dv =f (x)dx_ Determine…

A:

Q: Consider the following. 9. dx x2 + 18 (a) Evaluate the integral with the Fundamental Theorem of…

A: The solution are next step

Q: 3) Use long division to evaluate the indefinite integral f „s dx.

A:

Q: Q1: Evaluate the folowing integrals by using a substitution to reduce it to जकंन standard form: (i)…

A:

Q: Evaluate the definite integral. dx x(1+ In æ)

A: Explained below

Q: evaluate the integral using the methods covered in the text so far.

A:

Q: Evaluate the following integral. 1- 64ײ dx V1- 64x2 (Type an exact answer. Use parentheses to…

A:

Q: Evaluate the definite integral: 1/5 dx 1-x2

A:

Q: Evaluate the integral.

A:

Q: Evaluate the indefinite integrals by using the given substitutions to reduce the integrals to…

A: SOLUTION-

Q: use a geometry formula to find the exact value of the definite integral (-2x+4) dx on the interval…

A: We have to find the exact value of the definite integral (-2x+4) dx on the interval [3/2,1/2]As a…

Q: Evaluate the given definite integral using appropriate substitution: V2rdr = ... A ... B ...

A: We have to solve the Integral

Q: /1- xº V1-x°

A: