4 + 8x is x2 The antiderivative of the function f(x) = %3D

Q: Find the general antiderivative of 4 2 + x3 f(x) = x³ + 6/ | + C

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Q: 9. What is the antiderivative of f(x) = 6x² – ? 2 а. 12x + x2 b. 3x³ + x2 e 3x3 - x2 d. 3x3 – 2 In x…

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Q: x? + 2x – 3, What is the first step in integrating x + 1

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: 2. Find the most general antiderivative. f(x) = x5 +3x/2+7+6x-2 + 3x-5/2 %3D

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Q: fx=å (3in (x*ry)-x2) %3D fy = Ly(31n (x*+y)-x2) %3D d fe-(3in (x*ry)-x2)

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Q: constant

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Given:

Q: What is ∫3x(x2+2)5 dx? Do not include the constant "+C" in your answer. For example, if you found…

A: Given integral ,    ∫3x x2+25 dx        Let , x2+2=z=3∫ x2+25.dx            ⇒2x dx=dz=3∫z5.dz2…

Q: e5x 10) An antiderivative of eSx is +In 4 A. True B. False 5.

A: To find the correct option.

Q: sheet Undetermind Coefficient 2 Y +2Y+Y=x'e хе

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Q: Step 2 An antiderivative of f(x) = 5xA/3 + 4x5/4 is %3D F(x) = x7/3 + %3D

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Q: [5 < x < 8} 15<y<8S° f(x, y) = x² – 12x + y² – 8y on -

A: Given on . For global maxima and minima find the value of in given square region.

Q: 4 + 9x x2 The antiderivative of the function f(x) is

A: Solve the following

Q: -2 (x² - y²)²] Evaluate: S₁ S² P₁² dx dy x+y

A: Let's evaluate given double integral.

Q: Q2: EVALUATE * S I5(x) dx Js(x)

A: To find : ∫J5xdx Using the formula  ∫Jn+1xdx=∫Jn-1xdx-2Jnx Here n=4

Q: 2 Find the general antiderivative of f(x) = 5x* + 4 + C

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Q: dy Calculate You need not expand your answer. dx y = (9x² +x)(x–x²) a. (18x + 1)(1–x)+ (x – x²)(9x²…

A: Given,                y = 9x2+xx-x2 As we know                     d(uv)dx = udvdx + vdudx   d(y)dx…

Q: V16-x² .4 Evaluate: [4 16-x² J/x²+y² dz dy dx

A: We will evaluate the following Integral.

Q: 3 z3 +6 x5 Find an antiderivative of in the variable z where a + 0. 76 Remember to include a "+ C"…

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Q: 6 – 7x7 - Find the most general antiderivative of f(x) x4 Answer: -(2)/(x^3)-(7)/(4)x^4 Σ

A: Given query is to find the antiderivative of the expression.

Q: 20 (i) E(13)* k=0 (ii) fºx'e-2= dx (iii) [ e-(z-13)²/8 dr

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: 8.s Y°+y² _ dy + y² – 1 y2 + 1 8. S

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: x³-2y2 dy f) dx Hint: You know two methods that will work! 4xy

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Q: x+ 18 (d) J3 dx x2+x-6

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Q: Which of the following is an antiderivative of 8x3? А. 2х4 + х В. 2х4 — х 3. С. 2(х4 — 1) D. 2x(x³ –…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: e-(2²+x³) dy dæ x=-0 Jy=0

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Q: x³ – 27 dx . x - 3 Find the antiderivative of A x3 – 3x2 + 9x + C x2 3x B) + 9 + C - - 3x2 9х + C 3x…

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Q: using variation of parameters: - 2x + x = e t (et 1 1)2

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Q: 10x3 + 6x2 + 9x + 2 9. x + 4 Given %3D x4 + x2 x2 x2 + 1 (10x3 + 6x2 + 9x +2 Evaluate dx (Don't…

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Q: g(x) = 4x2 – 3x %3D 9(x) dx h(x) = e* %3D h(x) dx

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Q: 9. If f(x) dx = 35 and g(x) dx 14, find | [3f(x) + 4g(x)] dx. %3D

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Q: f(x) dx = 4 and 0 1₂ 2 +S²g(x)dx? 3 f(x) dx + -2 10 2 g(x) dx = 6, what is

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Q: Yk = A3k !(k +1)/ A3k k T°(k) I(k)' ary constant.

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Q: 6 3x? + 3 Find the general antiderivative of f(x) - + C

A: From the given function: fx=-3x2+6x-3x5-4x As we know that; The expression to calculate the…

Q: (iii) XF= F-1 – DT.

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Q: g) t(t-5)². i) (x-1) (x-2)(x-3). h) x (x²-4)². j) (y-6) (y-4) (y + 1).

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Q: x-2 6) Find the antiderivative: - (x+1)2+4

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: g(x) = x3 − 27x, domain [−6, 6]   Indicate any extrema.

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Q: Q4 (a) Evaluate by solving the work for (i) Só xe-*dx. -5 29-3x ·dx. x2-x-6 (ii)

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Q: Find the general antiderivative for 3Sec^2x-4/x^2

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: X1 + 2x2 – x3 = 3 5x1 – 2x2 = 2 -3x2+7x3% = 2 %3D e for the y's

A: Given,          0x1-3x2+7x3=2          x1+2x2-x3=3          5x1-2x2+0x3=2D=0-3712-15-200-3125-2=-69

Q: Find the antiderivative of x*(x+8)1/2

A: I=∫ xx+8dxPut x+8=u⇒x=8-udifferentiate w.r.t. xdx=duI=∫ (u-8)uduI=∫ uudu-∫ 8uduI=∫ u32du-8∫…

Q: 2 range f(xy): = Vx-I ln(y² – x)

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Q: Now we can say the most general antiderivative of g(x) 8 - 3x° + 7x° is G(x) = 8 5x + 7 X. X + C.

A: Here we have to find the most general antiderivative of  g(x)=(8-3x3+7x6)/x6 .

Q: x³ + 27 dx. x + 3 Find the antiderivative of 2x2 A + 9x + C 3 3x + 9 + C 2 B 3 3x2 9х + С + 3 2 - D…

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