. Determine how large the number a has to be so that dx < 0.004. x2 + 1 a >

Q: (b) Guess the value of dx when n is an arbitrary positive integer.

A:

Q: Find the following integral: S- -4 /x² dx x3

A: Explained below

Q: d (a) dx 2 1 + x

A: Topic:- derivatives

Q: e ax dx

A: 1. Let In=∫xneaxdx. Use the integration by parts formula ∫udv=uv-∫vdudxdx to evaluate the integral…

Q: 1. Approximate dx using each of the following.

A:

Q: The integral 2n / 14xe dx can be done with the substitution u - and du= dx.

A: Step 3Given,2π∫14xe-x2dx

Q: et Calculate the integral: dx (e – 4)(e* + 5) -

A: Given,            ∫exex-4ex+5dx

Q: 2x e3a² dx

A:

Q: find x for which = 0. dx

A:

Q: Evaluate the followingintegrals.∫x3√(2x+1)dx

A: Given integral is ∫x32x+1dx. Consider u=2x+1. Then du=12x+1dxdx=2x+1dudx=udu

Q: Use a graphing calculator to evaluate the integral 2 e dx.

A:

Q: S Le+6)dx (x+2)*

A:

Q: Evaluate the following integral. 3 5x(x - 3)dx 0

A:

Q: 7 Calculate 2x+ x-) dx, given the following. 7 8 218 169 Xdx xdx = 12 3 3 7

A:

Q: a) I = [ In(1+x²)dx

A:

Q: Evaluate the following integral. x+4 -dx x* + 16

A: see next step

Q: evaluate the following intergertal     (e−x + 2x)2 dx

A: Given integral is By using the identity (a+b)^2=a^2+b^2+2ab, we get

Q: Determine how large the number a has to be so that 08. 1 dx

A: Solution is given below

Q: Evaluate the given integral ∫ 2x/ e^5x dx

A: ∫2xe5x dx

Q: x dx x*+16

A:

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

A: We have to find out the value of a .

Q: Evaluate the following: 1. S"(1– x)e¬*dx

A:

Q: 1 dx x(In x)*

A:

Q: Find the following integral S,(x5 + x* + x3 + x² + x + 5) dx

A:

Q: Solve for the following integral: 1 -dx (e2x – 4)5/2

A: I=∫1(e2x-4)52  dxu=-2xdx=-12 duI=-12 ∫due-u-452v=e-u −4dv=-e-u du-dv(v+4)=duI=12∫1v52 (v+4) dv

Q: et Evaluate dx using an appropriate substitution. 1+ e2x a

A:

Q: Vx2-1 dx

A: This is the two different answers of equations to solve.

Q: Prove Ĵ Ha (as) th(x) e che = Hm (x) Hn(x) e^ dx = √x 2.11.8mm

A:

Q: Determine how large the number a has to be so that     ∫a∞ 1/(x2+ 1) dx &lt; 0.001

A: It is given that, ∫a∞1x2+1dx&lt;0.001. Show the definition of an improper integral of type 1: (a) If…

Q: (e) S, In|x| dx.

A:

Q: -In 2 e*dx 3. 2ex –1

A:

Q: How's f', and g'(x) used in composites d/dx for deriving

A:

Q: evaluate the following integral x/ x-3 dx

A:

Q: Solve the folkowing di fferential equotions 1. xdy dx + dy x'

A: Firstly , we can solve for dydx. After that we can see that the equation is an homogeneous…

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

A:

Q: (e 2x -1)2 dx 1. e 2x

A: A detailed solution is given below

Q: Use symmetry to evaluate the followingintegrals.

A: Given: ∫-22x9 dx

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

A:

Q: Evaluate the following integral. X'e dx

A:

Q: find the following integral 2-3e^x / e^x dx;

A: We have to find the integral below:

Q: 1. Find b such that |(a) In 3. dx is equal to х (Б) 3.

A:

Q: S 3* e*dx

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: Evaluate 1- x? dx 0. by Simpson's rale with n=5

A: Here fx=x1-x2 The interval is 0,1 and n=5. Hence the interval is divided into 5 equal parts.…

Q: Determine how large the number a has to be so that 00 dx

A: Given, ∫a∞1x2+1dx&lt;0.009

Q: Evaluate the following 1, the intergral from 0 to 1 of (dx)/(√(7-6x-x^2) )

A:

Q: S(2x – 3) (3x + 4)dx

A: To evaluate the given integral.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.