i dx = [In|x|]_, = In 2 – In 1 = In 2 -1 x

Q: Evaluate the integral. x? + x + 1 dx (x² + 1)²

A: To evaluate the given integral

Q: Evaluate the integral.

A:

Q: Find J JAtx S dx by any method. 4+x

A:

Q: Show that d (x + 1)? 1 (을 tan 'x + t In dx (1 + x)(1 + x²) x? + 1

A: The given function is

Q: Evaluate the followin dx X dx%3D X- 3 (Type an exact answer.)

A: Integrate as general

Q: 1 dx is divergent 1 a) true b) false

A:

Q: Integrate the following expressions: Sex-e (2x – e*). dx !! (x + cos2x). dx "/2 X cos2x.dx

A:

Q: S Evaluate: A None 1 dx (x-3)2 (в B D -I (E) ∞ (does not exist)

A:

Q: Find dy each of the following questions. dx In(1-e*) а) у 3D x2 b) x2у — у2 %3D 3х3 + еx

A: Here are the solutions:

Q: Using the second part of the fundamental theorem of Calculus, evaluate S. 4 3 |x' – 3x dx. Show all…

A: To find

Q: πT Evaluate the integral: S sin(3x)cos(3x) dx

A: We can solve this as follows:

Q: Exercise:solve the following different D(x+ ye)dx - xe dy = 0. %3D

A:

Q: Evaluate the following integral. dx J secx-1 dx sec x-1 (Use C as the arbitrary constant.)

A:

Q: Find the antiderivative of the following: х — 5 - f(x) - 7 dx %3D

A:

Q: Q1. Evaluate the following Integral +3 dx

A:

Q: Evaluate and simplify. J х dx (Show what is the u and du) V1-x4

A:

Q: Evaluate e 2 e D dx 2 X (LAX) ²

A: In this question, we want to evaluate the given definite integral.

Q: Let a be a constant. Given that -71 3x? In(ax)dx = e18 ( 30 3 3 find In a.

A:

Q: Evaluate the following integral:  cube root of 1-3x dx

A: We will evaluate the integral as following.

Q: a) I = [ In(1+x²)dx

A:

Q: Let a be a constant. Evaluate ((a* + a? + a) sin(2a) + 9a?)dx.

A:

Q: Suppose d a e R, where a > 0, a ± 1, what is (a*]? dx

A: Given,            Supose a ∈ R, where a>0, a≠1.To find : ddxax

Q: 2 1 e dx e

A:

Q: Evaluate dx V In(8-x)) at x = 1. = 1.

A: We have to find: ddxln(8-x2)3   at x = 1.

Q: Q1. Evaluate the following Integral +3 dx ,2

A: Given,

Q: A) Evaluate the following integral dx - (x - 1)(x − 2)(x − 3) 10 points

A:

Q: 1 dx x(In x)*

A:

Q: IxV In?x + 1 In x dx V In² x + 1

A:

Q: Suppose a E R, where a>0, a + 1. What is dx A a* B xa*-1. In(a) ха xa*- a*. In(a)

A: The objective of the question is derivative of given function.

Q: d Suppose a e R, where a > 0, a + 1, what is [a"]? dx a" In(a) ... A ... e xa"-1 · In(a) ... ...…

A: Here we have to find d[ax]/dx .

Q: d 1 (cot-'x) : dx Prove that 1+x?"

A: Let y=cot-1x. Then coty=x.

Q: Suppose a E R, where a > 0, a # 1, what is[a"]? dx a" In(a) © xa²-1

A:

Q: Find the number m, such that the function y = ema is one solution of the ODE dy &y dy + 5- dx? = 0…

A: We will satisfy the solution with given ODE to get value of m.

Q: Determine how large the number a has to be so that 1 dx Submit Answer

A:

Q: (e) /a (с) dx e2x 2.х

A:

Q: d41 -cosh(x) at x : O is dx41

A: cosh (x)

Q: d Suppose a E R, where a > 0, a + 1, what is [a*]? dx

A: We have to find derivative of ax

Q: Calculate T, and M, for f dx. (Use decimal notation. Give your answers to five decimal places.)

A:

Q: -2 Given that dx = In|x + 1| – In|x – 1| +c ,find dx = (a) In9 (b) In4 (c)-In4 (d) -In3 (e) None

A: Given, ∫-2dxx2-1=lnx+1-lnx-1+c

Q: determine an expression for dyl dx a)y= 2x*+ e*+ 2x² tan(x)+TT

A:

Q: Evaluate J by means of Simpson's rule with n = 2m=10 and h = 0.10 = [*exp(-x²) dx Answer in 4…

A: f(x)=exp(-x2)h=b-an=1-010=0.10 table for x and y values x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1…

Q: Solve the problem. Suppose that fand g are continuous and that S fo) de = 2 and S g) dx = 10. Find…

A:

Q: Let a be a constant. Evaluate ((a* + a? + a) sin(6x*) + 9a?)dx.

A:

Q: The integral dx is Select one: O None. o o o

A:

Q: A. Evaluate the following integrals 1. So dx

A: Note: As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: d Suppose a E R, where a > 0, a ± 1, what is[a*]? dx

A:

Q: Calculate T, and M6 for º 2 dx. (Use decimal notation. Give your answers to five decimal places.)

A: The value of T6 can be calculated by the trapezoidal rule but for that the values of fx are needed:…

Q: Find the integral. dx O A. 5x e* - In |x| +C O B. 5e* - In |x| + c 1 О с. 5ех. + C 2x? 2 O D. 5eX +C…

A: The solution is :

Q: Apply the open Newton-Cotes formula with 3.5 n=1 to approximate xe*dx 0.5 a. 84.437 b. 312.819 c.…

A: For n =1 , ∆x = b-a3 , and the abscissas are x0 = a + ∆x  and  x1 = a + 2∆x . The Lagrange…

Q: Mclopens serial f(x) = cos x she ?

A: Given function is f(x)=cosx