Question 4 dx 1 the integrand is x2 In A) True B False

Q: Prove the absorption law of x + xy = x using other laws of identi

A: to prove x+xy=x x+xy=x1+y use the identity law x+0=xx·1=x hence,  x+xy=x·1+x·y

Q: b) I =f- x(1+(In x))

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Q: 1 Prove that 3 dx s VI VI

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Q: xe* dx (x + 1)2

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

Q: Evaluate the integral 1 3 sec²0 6 + 8 tan 0 do

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Q: Prove that 1 3V2 dx < 3 + x (Hint: Theorem 5.9(ii) and carefully chosen functions should do the…

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Q: Prove that m-l dx =0 m +n (し+x)" where m,n are both Positive

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Q: Find the inde finite integrel. de 9- 16x"

A: NOTE: Refresh your page if you can't see any equations. . .............(1) substitute…

Q: Find indefinite intrege ex -2e て +)S =xp ( xe

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Q: MATH1274 Assignment #6 1) a) Evaluate the following definite integrals: S = 2x (4-x³) αx -2 dx b) 4…

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Q: Evaluate p* sin 0 de dr.

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Q: L2 (2² – 2æ) dæ =

A: We have to find the value of the definite integral of the given polynomial function.

Q: Verify Stokes's Theorem for F = z²î + x²j + y?k and S is the surface z² = x2 + y2, y 2 0, and 0 szs…

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Q: Show that is Reciz) e -ImZ p (ii) Im(iz) = Relz). %3D

A: Solution:- we have to show that  (1)    Re(iZ) = - ImZ (2)    Im(iZ) = Re(Z) where , Z = x + iy

Q: Let n be a positive integer. Without any calculations, the value of integral 3 La 22n+1, because the…

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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: (3x³ – 2x² + x -5) 1. dx (Hint: Simplify the integrand first) 4x2

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Q: Evaluate cosh(1+j)

A: We have to evaluatecosh(1+j)We know that

Q: 2 6* + dx i) 1-x²

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Q: | 2x²2** dx

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