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

Q: 9. z In(1 + x²) dx

A: As mentioned to solve only question number 9.Question number 9,Given,          ∫xln1+x2dx

Q: 3 d : 4me-m2 dy. dm

A:

Q: e substitution to evalua x+1 dx

A:

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

A:

Q: e dy dx У-х+1 У-х +5

A:

Q: 15 a) || dy dx answer: 4 -2 0

A: Given: I=∫-2-1∫0x3dydx   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: 2. Count 1-e-x2 dx x2 -1 to an accuracy of 3 decimal places after the comma!

A:

Q: [(e+1)?dx is equal to * The

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: A 9. The exact value of [2 e2* dx is

A: Find your answer below

Q: dx Find the value of if it exists. x2 – 1 1 8.

A: I=∫1∞dxx2-1=∫1∞dxx+1x-1=12∫1∞2dxx+1x-1=12∫1∞x+1-x-1x+1x-1

Q: [ 1² dx dy = 1/2 Select one: True False

A: Evaluating the definite integral

Q: It is known that dx Compute . Simplify the final answer. 2х-у dx

A:

Q: d²y Find the general solution for- dx² dx

A:

Q: Q10 Monday, March 1, 2021 8:30 AM Q10) Find dy/dx if:

A: To find out dydx=ddx(ln((x+1)5(x+2)20))We can write the equation in exponential form;…

Q: find x for which = 0. dx

A:

Q: In5 (x + 1)²e* dx

A: Given, ∫0ln5x+12exdx  We have to evaluate the integral and simplify.

Q: Let ƒ(x) = x3 - 3x2 - 1, x>= 2. Find the value of dƒ -1/dx at the point x = -1 = ƒ(3).

A: We will need inverse function theorem. Statement of the theorem is:

Q: So d e2x 0 e2-5 dx is equal to

A:

Q: 21. 5₁ 1 dx (A) 2 So to dx dx both diverge when p = xP (B) 1 © DO dx and (E) -1 HOR LAY A DUPA

A: Divergent

Q: L, Ix|e(1+x³) dx

A: Given integral, ∫-11xe1+x2dx

Q: dy х3 + ху? dx 12 ||

A:

Q: 1. dx てナメてナて

A: We have to evaluate the integral

Q: Find the formula for df-1 /dx. f(x) = (1 – x)3 1 O A. 3x2/3 О В. 1-х1/3 Ос. -3(1- х)?

A:

Q: When you evaluate: dx, The sum of the coefficient of X for any constant n is

A:

Q: By using the substitution u = x3", find nx3n-1e + 8) dx where n is a constant. Hence, evaluate "(exn…

A:

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: calculate the integral.

A:

Q: The f ²-3)³ dx is equal to x2

A: Given: I=∫x2-33x2dx For evaluating given integral, first we simplify given expression then integrate…

Q: Find the value of b so that (2x – 1)dx = 10 - 1 3 O 2

A: We have to find out b

Q: 5 (a) | x² In(2x) dx (b) x'e*dx 'xp, Jo

A:

Q: easy explanation of dx/dp of x= 10p * ((50-p)/p)^1/2

A:

Q: Derive a formula for the equation below: хп In x dx Where a.) n =-1 b.) n + -1

A: We use  the substitution method and integral by parts for each of the cases given. Note that…

Q: For what value of k, if any, is * kxe-2a dx = 1?

A: Consider the given equation      ∫0∞kxe-2xdx  = 1⇒  k∫0∞xe-2xdx  = 1⇒ k = 1 ∫0∞xe-2xdx

Q: Find a value for the constant A so that: 4(3x + 5)' dx : (3х + 5)" + C A

A:

Q: In x2/25+ x² dx , we let x = 5sine. (A) True False

A: FALSEHere , the correct substitution is x=5tanθ differentiatate On both sidesdx= 5 sec2θ…

Q: + k?y = 0 dx2 What type of D.E. is this?

A:

Q: Evaluate e (r- 2|) dx if it exists. If it does not exist, explain why.

A: To evaluate: ∫-12x-2|x|dx

Q: 2. Evaluate dx da dx a. //== /1+√ √ √ √==√₁ C. -

A: As per our guidelines we are supposed to answer only first question. Kindly repost other parts in…

Q: Find an upper bound for the error in estimating (5x3 + 2x)dx using the Trapezoidal Rule with n = 10…

A:

Q: d d re' dx 'In x

A: To evaluate: ddxexlnx We know that ddxex=ex and ddxlnx=1x Quotient rule of differentiation states…

Q: 25 Find / (x* )dx if / fdx = 9. Enter the exact answer. -5

A:

Q: Using dy = 3 dx and dx = 0.03, what is dy when x = 2? 2V3X – 2 dy = i (Write as an exact decimal.)

A:

Q: dy Find the general solution of (x? + 4) ху- dx

A: Good Morning, This is the problem of Differential equation that can be solved by seperation of…

Q: Find the value of b so that (2x – 1)dx = 10 O 1 O 4 O 2 3

A:

Q: OUse the undetermined coefficient technique to solve d²y dy + 10 + 25y dx 14e-5x dx?

A: Consider the given function d2ydx2+10dydx+25y=14e-5x. Obtain the general solution of the given…

Q: 3 Differentiate the expression (x + y )" with respect to x. (Use D for 2). dx

A:

Q: (1+e*)" dx (d) s (1+e*)2

A: topic - definite integral note : as per bartleby guidelines, we are supposed to answer only first…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.