Find or evaluate the integral by completing the square. (Use C for the constant of integration.) x² - 10x

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Q: Evaluate the indefinite integral. (x2 – 6x + 9)dx , and • Identify what is the u=? and du=? Show the…

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Q: 4. (ази t эзо

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Q: Evaluate the integral. -2x 11 x² d.x + C NOTE: Enter the exact answer.

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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.

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A: The double integral ∬Rfx, ydA is can be written as ∬Rfx, ydxdy. We have given the region R=x, y :…

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

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Q: Using integration by substitution in ſ x³(x6 – 2)³dx, what is du? A. xdx В. бх5dx С. (х6 — 2)dx D.…

A: ∫x5(x6-2)dxPut x6-2=udifferentiate…

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Q: ate the integral. (If the quantit 8. dx (x2 + 4)2

A: The given integral,                ∫-∞∞xx2+42dx

Q: Given ∫(−6x6−4x5+5x−3)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: Given ∫(−6x6−4x5+5x−3)dx

Q: PART I. Evaluate the following integrals. Show all the necessary solutions. 2x³ 1. f ²x² +5x²-4dx

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

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A: Given: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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

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Q: Hence or otherwise, evaluate the following integral (Hint: Use completing square) -2r2+3r dx

A: We use the result ∫-∞∞ e-t2dt=π to evaluate the integral ∫-∞∞ e-2x2+3xdx .Convert the integral ∫-∞∞…

Q: Find formulas for the functions represented by the integrals.

A: To find∫3x9x+2e-udu

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

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Q: Solve the integral: A √√x 3 B 3√√x² +C √x² + C 6 D 6√√x +C اسے I dx

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Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr

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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: 6. DETAILS LARCALC11M 5.8.508.XP. Find or evaluate the integral by completing the square. (Use C for…

A: We will evalute the given Integral by using completing squre method and by using integral formulas.

Q: a) S In Gxt1) dx 2.

A: In this question we have to find the Integration. Formula Used, - Chain Rule. - ∫lnx=1x+C

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Q: Evaluate the following integrals. dr x²Vx² – 9 13

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Q: S 2 x² dx x² 2 -9

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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: A. Solve for the integrals of the following: 3 - dx b) 2+ 3x ST a) dx c) 1+ 2x2 e2a + 1 3

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Q: Evaluate the following integrals. 2x3 + 4x² + 7x – 6 dr 1. x4 – 3x2 – 4

A: Given:     ∫2x3+4x2+7x-6x4-3x2-4dx   Factor the denominator:     =∫2x3+4x2+7x-6x-2x+2x2+1dx Perform…

Q: Use the appropriate technique of integration to solve the following. (a) In x? + 1dx

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Q: Find the integral 52? + 3х — 2 dx +C x3 + 2x?

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Q: Evaluate the integral. You may need to use substitution, complete the square, or some other method…

A: First make a complete square by adding and substracting 9 in  x 2+6x so that we get x 2+6x+9- 9…

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Q: J. 3x²dx Evaluate the indefinite integral. J; , and 9x6–12x3+4 • Identify what is the u=? and du=?…

A: We have to find the indefinite integral.

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

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Q: Evaluate the integral xe5x? dx by making the substitution u = 5x2. After substituting we have: (in…

A: Use substitutions to integration

Q: solve the given integration by substitution by sub

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

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Q: 2x2 + 2x + 11 dx (2x + 3)(x² + 4) (c)

A: Evaluating the integral using partial fractions.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.