8. Evaluate the definite integral. (a) "(1+ sin x) dx =2+7 xP z/ Z- e (b) хе

Q: Q4) Solve the integral by Simpson's rule x3 cos2x dx, h 0.2

A:

Q: 4. Yes, more integrals to solve! 1 dx x/lnx tan x dx COS I b) / e* dx a)

A: 4. It is asked to evaluate the given integral .

Q: 3. Find the following definite integrals. (2x +3)dx (x2- 1)dx x² - 2x)dx sin(3x + 4) dx 1

A:

Q: 1 So x2-4 dx an improper integral. (5 points each) 3. Find a value of b >0 that makes

A: Given the function :

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 x/ 25 - (In x)? In(n1) 5…

A: The given integral,∫5x25-ln x2dx

Q: 3., J(5 cos x+4 sin x) dx

A: We have to find integration

Q: 7/2 2. Is cot x dx an improper integral? Explain.

A: Given integral is not an improper integral.

Q: 3. 'Evaluate the integral. 5 dx х0.2

A:

Q: 1. Find the definite integrals of the following functions : (a) L. 4.x dx (h) dx ex +1 -2 0. (b) /…

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: 1. Evaluate the following integrals using appropriate methods and simplify your answers. (a) x*e* dx

A: To Determine :-  The given integral is : (a) ∫ x3 ex2 dx

Q: 17. Evaluate the indefinite integrals. a) sin x cos x dx x +4 b) S dx (x2 + 8x- 7)2 c) S sin x dx…

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Q: 1 Find the indefinite integral || e* + dx 1+x?

A:

Q: 10. Evaluate the definite integrals by u-substitution. In5 Te(3-4e) de ( 2 cos 3x dx b. а.

A: a. ∫0π62 cos3x dxb. ∫0ln 5ex3-4ex dx

Q: 3. Find the indefinite integral: Sx(x-2)* dx

A: Please rate

Q: 6. Evaluate the integral. S-11 sin x cos(cos x) dx

A:

Q: | Example 8.20. Evaluate the integral to 3 decimal places. 0.5 x dx using Romberg's method, correct…

A: We need to use romberg's method to solve this problem.

Q: 16. Evaluate the indefinite integral / (x³ – 5 sin x ) dx. |

A: We have to evaluate the integral ∫(x3-5sin x)dx

Q: What is the integral of ((x^2)*e^(3x))dx from 0 to 1?

A:

Q: 5. Evaluate the following integrals: sin x (1) f dx (ii) [Vsinx cos xdx (iii) -x' dx x* +3x? +2 V1+…

A: Dear student,                      According to our guidelines we are supposed to answer only first…

Q: 6) Use the successive approximations method to solve the following Volterra integral equation: u (x…

A: The Volterra integral equation is given as u(x)=x22-∫0x(x-t)u(t) dt. We have to solve the equation…

Q: 4. Evaluate the definite integral_ TC 3. sin(3t) dt 0.

A: Explained below

Q: 4. Evaluate the definite integrals below using anti-derivatives and, if needed, the integral rules:…

A: a. Use the formula  to solve the given function as follows,   Simplify the expression as follows,…

Q: 79. What are the new limits of integration if we apply the substitution u = 3x +7 to the integral…

A:

Q: 16. Evaluate the integral:23 sin x dx.

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

Q: 3. Evaluate the definite integral. Give exact answers S(x² + 2x – 4)dx - a. ~2 2x+1 dx Vx2+x-2 b.

A: Take integration. Follow step 2nd .

Q: 5 Find the following indefinite integrals. 10 b. J- S(x+2)' dx a. (3x-7) xp-

A:

Q: Q1:Choose theappropriate value to integrate the following sin(In x) dx (sin (In x) – scos (In x)) +…

A: Solution I=∫sinin x dx        Let  lnx=t⇒x=et         1x dx=dt          dx=xdt…

Q: 1. Find the general indefinite integral. 5e + 3 sin x dx (b) ["be²

A: We have to solve this given integral . For this first we solve the general indefinite integral &…

Q: How to evaluate this definite integral: ∫[e^3, e]  (3((ln(x))^3) / x dx

A: The definite Integral will be solved by substitute method

Q: Sin (x-t) u(t) dt = 1- Cos x

A:

Q: 6. Evaluate the following definite integral using the fact that sin x dx = 1. S. | (2 sin x + 3) dx

A: ∫0π2(2sinx+3)dx Take integral for each term ∫0π2(2sinx+3)dx∫0π22sinx dx+∫0π23 dx2∫0π2sinxdx+3∫0π2dx…

Q: Q-3: Find the general indefinite integrals of: cos ntcos(sin(nt)) dt 2. Vx2 + 2x dx

A:

Q: 3. Evaluate (using appropriate substitutions if necessary) the following definite Integrals. (a) ,…

A:

Q: 4. Evaluate the following real-variable integrals using the method of residues: 2 cos (0) Jo…

A: PART A Consider ∫02πcos2θsinθ+2dθ Let us assume : dz=eiθi dθdz=iz dθdziz=dθ

Q: dz

A: Here I am attaching image so that you understand each and every step.

Q: 6) Use the successive approximations method to solve the following Volterra integral equation: 2 и…

A:

Q: e2x 2.) S. dx ex – 5

A:

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

A:

Q: Find the most general antiderivative or indefinite integral. 2. cos 7x - csс"x) dx

A:

Q: 10. Find the indefinite integral 5x'e dx

A: Given,          ∫5x2ex3dx

Q: 3(b) Find the indefinite integral of S*vx+6 dx

A: We need to find integral.

Q: 10 tx-10)°dx. Evaluate the definite integral "(x-10)°dr,

A:

Q: | cos x sin xdx

A:

Q: 4) Evaluate the definite integral: s?(2n² - 4x + 8)dx. |

A:

Q: 7. Evaluate the definite integral by hand. x dx -1 x' +1

A:

Q: -cos-sino de has the form sin 2 2 -F(0) +C. What should The resulting integral of 4 be the value of…

A:

Q: 1. Find the general indefinite integral or evaluate the definite integral, as necessary. dx b) S,…

A:

Q: 11. Evaluate the definite integral S" dx. x+a?

A: Topic:- definite integration