S(x³ + 2x² + x – 5)e2* dx

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A: Given: I=∫16-x2xdx for evaluating given integral, we substitute x=4sinθ…

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A: Topic- solutions of equations

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Q: 77. Use substitution with u = x² + 4x + 3, = (x +2) dx.

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Q: x3 16-x2

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A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

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Q: O. In question number 19. what is its particular solution? D2 - D- 2)y =1- 2x – 9e-*

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Q: 5) By false position method the equation f(x) = e* – 3x² has a root between 0.5 and 1.0. O F

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Q: Solve using the U-Technique Question 10 For ſk*e3*dx = 1 (ke)3x 3 (1–In 2-1) If u = 3x, then k =?…

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Q: 30. Solve the equation O in favor of x. Show work. 2x х2+2х-3 x2-3x+2

A: To solve the equation in the favour of x.

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Q: Byolirect parfal ngrea don, solve the followay PDES 三6 Texe Z CX,0) = X+X be Z (2,): 34

A: When a differential equation contains the terms with differentiation of a single dependent variable…

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Q: (b) Guess the value of x^e-X dx when n is an arbitrary positive integer.

A: ∫xne-xdxlet u = xn+1→dudx = (n+1)xndx = 1(n+1)xndu ; x = u1n+1∫xne-xdx = 1n+1∫e-u1n+1du⇒∫e-u1n+1=…

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Q: Problem 27

A: To integrate

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A: Given integral to evaluate ∫-227xe6xdx This can be integrated using the rule ∫u·vdx=u∫vdx-∫u'∫vdxdx

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A: Since you are asking multiple subparts, we are answering only the first three subparts for you.…

Q: SV25-x² In dx , if we let u=/25 - x2 , then udu= - xdx. (A) True B False

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Q: 2 21. The maximum value of is 3 cosh 2r + 2 A 2 B 5

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Q: Show the solution (use applicable secondary formula): -In|x| +In|x – 12| + C -dx J 2-12x

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Q: Haw / Find dhe solution for the equaton

A: Find the solution

Q: II. Find the general solution: eV csc?tdr-r sintdt =0.

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Using an appropriate substitution, i) Evaluate fx*(1-x)³ dx. ii) Show that dx = + In 2 . (x-1)3 8

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Q: 1 By using completing the square , dx can be rewritten as x²– 4x – 7 х-

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Q: I. Evaluate the following and show all necessary solutions. Enclose your final answer. x3 dx x2 – 2x…

A: Given integral, ∫x3dxx2-2x+4

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A: Given : ∫x2x3+134dx

Q: Prove that..

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Q: 39. Find two numbers a and b with a < b such that [(6 - x - x) dx has its largest value.

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Q: 5) By false position method the equation f (x) = e* – 3x² has a root between 0.5 and 1.0. O F

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Q: using an appropriate su OTE: Enter the exact answer. 4 | - | dx - 4 (1 – 2x) ¹ +C

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Q: Which of these is a possible solution for cscx+ - = 0 in the interval x e [0,21]? 3 O b); X = 3 Od.

A: We know cosec (x) = 1/sin(x)

Q: dx The only solution to evaluate is using algebraic substitution technique. A True False

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