Find the general antiderivative of f (x) = 15x + 18x-2 and check the answer by differentiating. (Express numbers in exact form. Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.)

Q: Any two antiderivatives of f (x) differ by a constant.

A: We need to check whether two antiderivative of f(x) differ by a constant.

Q: Find the particular antiderivative that satisfies the following conditions: g (x) = 2x?; g(-1) = 4.…

A:

Q: For F(x) = x2 , F′(x) = 2x, making F(x) = x2 an antiderivative of ƒ(x) = 2x.

A: Given that Fx=x2. Compute the derivative. F'x=x2'=2x

Q: Find the antiderivative F(x), if f(x) = and F(2) = 0. 1. 1 A. x'2 1 1 В. 3 C. 8 3 3

A:

Q: Find the general antiderivative of f(x) = 3x + 15x-2 and check the answer by differentiating.…

A: ∫ xndx = ((x n+1)/(n+1))+C  Power Rule: (d/dx) (xn ) = nxn-1

Q: Find the general antiderivative of f(x) = + C - 5x¹ x² +6√x

A:

Q: Find the general antiderivative of f(x) = 23x + 14x-2 and check the answer by differentiating.…

A: Given:- f(x) = 23x+14x-2 To find:- Anti derivative of f(x)

Q: 1. Determine the antiderivatives of the following functions. (a) f(x)= 8r" +2r3 – 1 (c) g(x) = 2r³

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: The antiderivative of the function 6 f(x) = .1+ 11æ³ is. %3D 2

A: The function is given by fx = 62·1+11x3 To evaluate : The antiderivative of the function

Q: Find constants c1 and c2 such that F(x) = c1xex + c2ex is an antiderivative of f (x) = xex .

A: Given: Fx=c1xex+c2ex is an antiderivative of fx=xex To Find: c1=? and c2=?

Q: +] has the general solution u(x, y) = e"[f(x)+g(y)] where f and g g are arbitrary functions

A: ∂2U∂xdy+∂u∂x=0let U(H.Y)=e-yf(x)+g(y)

Q: Find the antiderivative of f(x) = 2 csc2 a given that f () = 1. 4.

A:

Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. 9x²+36dx

A:

Q: Suppose that F(x) = –3x* is an antiderivative of f (x) and G(x) = 2x' is an antiderivative of g(x).…

A:

Q: Find the general antiderivative of a(x) 1 Use Cfor the arbitrary constant. (If necessary, rewrite…

A: To find Antiderivative.

Q: 10. Find the antiderivative of the following functions: a) f (x) = 12 – x b) f (x) = 8x³ – 9x² + 4…

A:

Q: Solve for the antiderivative of the function f(x) = C. *++3x + C A. ++9x+C B. 즉++9x +C D. 2x ++3x +…

A:

Q: Find the Particular antiderivative that satisfies the following conditions:   R’(x)=7-0.8x;  R(0)=2…

A: R'(x) = 7 - 0.8x Integrate both sides with respect to x: R(x) = 7x - 0.4x2 + C   {As integral of…

Q: What must be true of F(x) and G(x) if both are antiderivatives of ƒ(x)?

A: For a function f(x) to be anti-derivative of F(x), f'(x) should be equal to F(x).Similarly, for g(x)…

Q: Find the general antiderivative of f(x) = 4x – 5. Use Cfor the arbitrary constant. nswer F(x) =

A: Fx=∫fxdx

Q: find the general antiderivative of f (x) and check your answer by differentiating

A:

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

A:

Q: Find an antiderivative F(x) with F'(x)=f(x)=7+18x2+14x6 and F(1)=0.

A: Find an antiderivative F(x) with F'(x)=f(x)=7+18x2+14x6 and F(1)=0.

Q: Find the general solution by using reduction of order method to (x2 + 1)y" – 2xy' + 2y = 0 given…

A:

Q: Consider the function f(x) = 2x³ + 71° – 8z2 – 8. Enter the antiderivative of f(x) + C

A: To find the antiderivative means integration of the given function

Q: Consider the function f(a) = 7x° + 5x° - 5x 3. Enter the antiderivative of f(x)

A:

Q: The antiderivative of the function f(x) 4 + 11x is + 5.5z2 + c 4 5.5x + c -4 + 22.0x2 + c -4 +5.5x2…

A:

Q: 2) Find the general antiderivative of f(x) = + 3 a) O - 1. 3. 4 4x b) O -x 3x* 4 + X* c) O 15 + 1 +…

A: on doing the integration of the given function  2x-3+3x-5+xthat is 2x-3+1-3+1+3x-5+1-5+1+x22…

Q: Find an antiderivative F(x) with (x)=f(x)=7+15x^(2)+18x^(5) and F(1)=0.   Remember to include a "+…

A: given: f(x)=7+15x2+18x5 F(x) is the antiderivative of f(x). that implies the integration of f(x) is…

Q: Find f(x), the most general antiderivative of the function: f' (x) = 3x –

A:

Q: 3 If F(x) = 2x² x² is an antiderivative of f(x), find Provide your answer below: S-2f(x) dx = 1-2…

A:

Q: Determine the general antiderivative of the function. 3 v (z) = (2 – 7x)* . %3| 1 True or false? V…

A: ∫xndx = xn+1n+1 + C

Q: Find the most general antiderivative of the function. 11.) 1-t 1 (1) =

A: Given

Q: Find constants c1 and c2 such that: G(x) = c1xe^−x + c2e^−x is an antiderivative of g(x) = 3xe^−x.…

A:

Q: I. Determine the general antiderivatives of the following functions: Show your solution . 7.…

A:

Q: Use the IVT to show that e−x2 = x has a solution on (0, 1).

A: Given equation is

Q: let f(x)=(3)/(x) - 8e^(x) Enter an antiderivative of f(x):_______

A:

Q: Find the particular antiderivative that satisfies the following conditions: R' (x) = 5 – 0.3x; R(0)…

A: follow next step

Q: Consider the function f(x) = 10x10 Enter the antiderivative of f(x) + 3x5 – 3x3 – 6. + C

A:

Q: Find the particular antiderivative that satisfies the following conditions: f"(x) = 16x – 2; f(0) =…

A:

Q: Find the antiderivative F(x) that satisfies the given condition. F'(x) = 4ex - 5x²; F(0) = 10

A:

Q: The antiderivative of the function f(x) +10z is -5 - 5.0z2+c -10 +2.5z2 + c +5.0z2 +c -5 + 5.0r +c…

A: To find:∫5x2+10x dx

Q: Find the general antiderivative F(x) + C for the function. 126+ 3x+ f(x) = x3 O 3x4 +x2 + C 3x* +x +…

A:

Q: Find an antiderivative of f(x) 28. Assume that the value of the arbitrary constant is 0. Answer

A: Antiderivative of function

Q: Consider the function f(x)=5x^9+5x^6−6x^3−8Enter the antiderivative of f(x)

A: Given function is

Q: Find the most general antiderivative of the function. f(x) = 15x²-14x+8 O a. F(x)=6x²– 14x +C b.…

A:

Q: Consider the function f(x) = 5x-5x2 +4x 8. An antiderivative of f(x) is F(x) - Aa* + Ba + + Cx? + Dx…

A: The given function is: f(x)=5x3-5x2+4x-8

Q: -is F (x) xỉ (9x“ – 10) where "a" is equal to The antiderivative of f (x): 30 A 12 6. 1 D None of…

A:

Q: 3 The antiderivative of the function f(x) = + 9x is x2 -3 4.5x2 + c 3 + 18.0a? + c 6- + 1.5x + c 3 +…

A:

Q: Suppose that F(x) = 5x° is an antiderivative of f (x) and G(x) = -4x' is an antiderivative of g(x).…

A: Integration