e? If u= In x, then 1- (In x)2 dx=?

Q: [x* In x dx; u - In x, du – x² dx

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Q: 2- Find O for: y= In (x+5x) dx

A: Tpoic- Differentiation

Q: 25-x2 In dx , if we letu=V25-x² , then udu= – xdx.

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Q: 2. S 22+3x dx = 4 ( +c In 8.

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Q: Evaluate I = | x(In z)² dx

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Q: Compute the exact value. 2 dx 2.

A: Simplify the given integral using limits.

Q: What is ſ e2x dx? 1+ex

A: Given :                      ∫e2x1+ex dx     Substitute u = ex+1  ,  dudx = ex…

Q: If (x – k)³ dx = §,x³ dx , find k? %3D -

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Q: (3) SaʼIn a dx =

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Q: 1 en (enx)+ dx (enx)?

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Q: Mesin(2x) dx = e$in(2X) + C then the M is equal to Blank 1 If

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Q: 22. Evaluate So Si S dx dy dz.

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Q: If we approximate e-**dx using Simpson's rule, we get the answer approximately equal Select one: a.…

A: Given: To explain the correct option of the given statement as follows,

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

A: Given,            ∫exex-4ex+5dx

Q: (a) If (In a] = , evaluate dx d [In x²] dx

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: What is the value of , x(x + 1)+ dx ?

A:

Q: In(x) dx; u = In(x), dv = x³ dx

A: Use integration by parts method.

Q: Evaluate Si S dz dæ dy 0. 4.

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

Q: evaluate Fhe In tegral 子 dx

A:

Q: 11. Evaluate dx if possible. If not possible, explain why. Vx? – 9

A: The objective is to evaluate the integration.

Q: 3 ex dx = e3 - e, use this result to evaluate Given that 5ex + 6 dx.

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Q: .2 -dædy In (x) ey

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Q: 2sinh cosh -dx 3cosh? * 2

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Q: dx Evaluate Зх — 12

A: Solution:

Q: du du Identify u and for the integral dx dx. dx 5x" 5 + 4 dx dx

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Q: 70. Use the fact that (b*) = (In b) b* to prove that (ek*) = dx dx kekx. ||

A: Differentiation rules help to prove the required. The given fact helps to prove the required. Chain…

Q: Show that: (e) (VF) = 1 dx

A: Derivative of a function xn: ddxxn=nxn-1                               (1) Given function is: f(x)=x…

Q: If f(x) = – x Find: S",(f(x))² dx That is find S"(: ,(1 - x)?

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Q: 1 •arccos y Evaluate esin a dxdy.

A: Find the double integral by using order of change of integrals

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

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Q: 1. For what values of p is O'dx?

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

Q: a) In(x+1)³ dx x+1

A: Given, ∫23ln(x+1)3x+1 dx

Q: dy _ 1 dx y-x 6.

A: 6) Given:             dydx=1y-x               dxdy=y-x                dxdy+x=y This is in the form…

Q: cln 2 In 5 e2x+y dy dx Jo 1

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

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Q: if x = acos30, y = asin30 , find /1 + 2 dx

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Q: 1 dx is finite -1 X Select one: True False

A: True

Q: The approximate value of dx by using Simpson's rule is 0.3480, then the error in the approximation…

A: Given Approximate value of the integral by Simpson's rule(Vs) = 0.3480 Now we will find the actual…

Q: T sin x – cos x dx

A: Given data: The given integral is I=∫0πsinx-cosxdx. The given integral can be written as,…

Q: In (5x) dx 1 In (5x) dx = (Do not round until the final answer. Then ro

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Q: dx Vsinxcos3x

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

A: To evaluate: ∫-12x-2|x|dx

Q: 7) Find dx if y- J

A:

Q: e2: S dx 1+ex

A: Given the integral ∫e2x1+ex dx u = 1+ex  ⇒ ex = u - 1 du = ex dx By substitution method, I=∫e2x1+ex…

Q: If (Mesin(2x) dx = eSin(2x) + C, then the M is equal to-

A: We will differentiate both sides w.r.t 'x'

Q: find using Serie s リ2 dx "I+X 2

A: As a first step, we need to obtain a series for the integrand.

Q: dy y(In y-In x +1) dx

A: The solution of given homogeneous differential equation is written in step2.