Complete the square and find the indefinite integral. (Use C for the constant of integration.) x2 dx 2x - x2

Q: What is the value of the definite integral 4x – 3 -dæ? dx? 1² – I 2

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Q: 1 y dxdy Vy-x² 0. y

A: To solve∫01∫yy2dxdyy2-x2

Q: Evaluate the definite integral. (x+ 3) dx -1 Select one: OA. 30 B. -30 C. 22 D. 25

A: we have to find the following definite integral

Q: Determine the constant of integration of f (x)= ƒ (15xª – 3x²) da if f (1) = 4? O None of the…

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Q: 3x?e³+x? + 2xe *°+x² dx

A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST…

Q: Which constant c would best be described as a constant of integration? c +1 Secx=a

A: The indefinite integral always results a constant of integration.

Q: 12x + 18 1. What is the indefinite integral of / :) dx ? x3 + 5x2 + 2x –8

A: 1)

Q: Vx² – 25 Using a trigonometric substitution, the integral dx becomes: 25x2 -10

A: ∫-10-5x2-2525x2dx

Q: Evaluate the definite integrals -3 a) dx b) 1. 2 c) dx d) x² dx da

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Q: Evaluate the following integrals. 1 dx x²Vx2 – 9 3

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Q: Use a table of integrals to find the consumers' surplus at a price level of p = $25 for the…

A: Solve the following

Q: x[cosh?(2x2) – sinh²(2x²) ]dx is equal to A) x?dx B None xdx D dx (E) 4 xdx

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Q: x[cosh?(2x²) – sinh²(2r²) ]dx is equal to A xdx B xdx x²dx D None E dx

A: To find the given integral is equivalent to which integral.

Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

A: Given query is to find the solution of the integral.

Q: 2 3 3t dt - 3 -2

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Q: 12) Find each integral by substitution a) [xe dx -dx- b) 7+9

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Q: Express the integral in terms of the variable u, but do not evaluate it. e14x-13 dx; и — 14х — 13…

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Q: Given ∫(−6x5 +5x3 +1)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: To calculate the indefinite integral of the expression -6x5+5x3+1. To integrate the provided…

Q: Зу? + у — 1 y?

A: We have to solve the given definite integral: ∫123y2+y-1y2dy Rewriting the integral and solving the…

Q: dx dx хV 16 — 9х2

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Q: бх + 9 dx V6х — х2

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Q: (a) 18 d.x x² – 49 (b) 20 1 - dx 2x2 – 72 (c) 6. - dx x² – 4x – 5

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Q: (x²y + y³)dx – (x³ + xy²)dy = 0

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Q: dx - Evaluate the integral : o using residues and any other method which can be applied to solve…

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Q: dx Using an appropriate substitution, the integral V-x-6x+40 is equal to: (Complete the square, if…

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Q: What values of a and b maximize the value of the definite integral | (x - x²) dx a a = b =

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Q: csc? (2x) dx 1 + 5cot² (2x)

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Q: S dx (36x² + 1)²

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Q: Solve the integral. Show your solutions. Sỉ XUÂN ĐÃ

A: The given integral is ∫13xe3xdx. Solve the given integral.

Q: refer to f -3)dx x-2 What will be the answer when the integral is evaluated? Show your solution…

A: Integration of the given integrand x2-3x-2 can be found with the help of the division algorithm and…

Q: Evaluate the integral. 17 x2 e" dx + C NOTE: Enter the exact answer.

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Q: Evaluate the definite integrals a) (бх? — - 2x – 10) dx = / (x+ 4)² dx = b) 1 c) (x* – x³ ) dx - ||

A: Some of the properties of integration  ∫abf(x)dx=F(b)-F(a) ∫xndx=xn+1n+1+C…

Q: Decide whether you can find each integral using the formulas and techniques you have studied so far.…

A: Given: I=∫2dxx2+4 we know that ∫dxx2+a2=logx+x2+a2+c                                      ..1

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

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Q: 8 x2 + 16 dx x2 The integral is equal to ...

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Q: Solve the derrivative and enclose the final answer. xdy - { y + xy3 (1 + ln x) } dx = 0

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Q: D. x4-4x2+8х J(- • Evaluate the indefinite integral. dx ,and • Identify what is the u=? and du=?…

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Q: Use substitution method to find the indefinite integral: ∫3x^2/(4+x^3)^6 dx. Answer in this form:…

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Q: a) Find the definite integrals of the following functions (i) Sx(x² +9)10 dx (ii) xp xu)x (iii) S…

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Q: 5) f dx the correct solution of this integral is:- 1+X* A) 2 V5 В) Зл

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Q: Evaluate the integral. 16 x e3* dx = +C NOTE: Enter the exact answer.

A: We have to find the integral

Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

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Q: +1 dx x+1 10.

A: As we know that the power rule: ∫xndx=xn+1n+1+C ; n≠-1 From the given problem: I=∫01x3+1x+1dx

Q: Solve the integral. 1 5. dx JAx – x2

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Q: rercises Find a particular integral for the equat 3. d'x dx 3. + 2x Se3 dr dr

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Q: r2 c-x+3 3 J(x-1)² 4x° dydx

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Q: T/2 sin & cas Ode sinte

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Q: To integrate x3x² 842 242 Ox we apply integration by parts and in the form u dv, dv is set as: dx'

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Q: Q2: Solve the following integral (1) 7x²+14x+15 (x²+3)(x+7) dx dx ; (2)

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