Find the general antiderivative of each of the following functions. i(x) = cos x/2

Q: 1) Evaluate the following (general) antiderivatives: a)[9x' +7x+4 dx = b)J9 cos(x)+8sin(x)+7e*…

A: a) ∫9x7+7x+4 dxb) ∫9cos(x)+8sin(x)+7ex+6sec2(x)+4x-31+x2 dx

Q: Find the family of antiderivatives for each ofƒ(x) = ex, g(x) = 4x3, and h(x) = sec2 x.

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Q: If tg(t)dt = sin(x) for every x, find g(2 1). g(2 x) =

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Q: 1. Find the following antiderivatives. (a) [² cosh x + 1 sinhx dx

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Q: Given t2 – 4 f(x) = dt 1+ cos2(t) At what value of x does the local max of f(x) occur?

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Q: If f(x) = –3x + sin(47x) for x E [0, 1], find the smallest value of c E (0, 1) which satisfies the…

A: The Mean Value theorem states that for a continuous and differentiable function f(x) on the interval…

Q: Determine an integrating factor and solve the followir xdy-ydx-(1-x')dx = o 1.

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Q: 7. If f(x,y) = y³ loge x³ + x² sin y – y? cos x, find (i) fx (ii) fxx (iii) fry (iv) fy (v) fyx

A: we find the partial derivative of all parst. see 2nd and 3rd step.

Q: 1. Find the antiderivative of each of the following functions. 3 a. f(x) =+ e* + Vx b. f(x) = sin…

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question…

Q: For the following function ƒ, find the antiderivative F that satisfies the given condition. ƒ(x) =…

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Q: (x²–3)(x²+2) 1. dx x1 2. S a x-8 dx X-2

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Q: Find the general antiderivative of f and check your answer by differentiating.  f (x) = 2 cos x − 9…

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Q: Given t2 -9 3 (2)f (=) = / dt 1+ cos (t) At what value of x does the local max of f(2) occur? %3D

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Q: Find an antiderivative F(x) of the function f(x)= 6sinx / 12+cosx such that F(0)=1.

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Q: Find the most general antiderivative. 4.9 #19 f (x) = 2* + 4 sinh x

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Q: Consider the following function and express the relationship between a small change in x and the…

A: Givenf(x)=10-acosxwhere a is constant

Q: Determine the following general antiderivatives. [3x (x²-5)³4x [Axe+²7 tan(+²7) dx 10 d. cos(x)…

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Q: Verify the Mixed-Derivatives theorem for the following function.  D = 7 w = x sin y + y sin x + 2D…

A: We know that , Mixed - derivative theorem state that  If f(x,y) and its partiality derivatives are…

Q: Find the most general antiderivative of the following functions. (d).r(θ) = (sec θ − tan θ)^2

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Q: Find an antiderivative for each of the following functions g(x) = cos x

A: Given  The function is g(x) = cos x.

Q: ) Given f(x) = t² – 36 dt 1+ cos²(t) Jo At what value of æ does the local max of f(x)|occur? x =|

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Q: Find antiderivative of the following functions.  1. f(x)=sinx/(1+cos2x)  2. f(x)=x/(1+x4)

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Q: Find for THREE of the following functions: dx 1-y()+In(cos(x)) + √2-y=2(cos(x))*(x)

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Q: Find antiderivatives of the following functions. (a) f(x) = 2 cos(2a) sin(3x) + 3 sin(2x) cos(3r)

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Q: 1. Find the most general antiderivative of the function 12 f(x) = ( 2r + sin(4- r) + 7e

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Q: Find the antiderivative F(x) of f(x)=12-pi(sin(x))+17cos(x), given F(0)=3pi

A: To find the anitderivative of the given function.

Q: the following is the general antiderivative G(x), for g(x) = 2 sin(x) + 12e³x + 2√x ? ternative: 1…

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Q: Find the most general antiderivative of each of the following functions  f(x) = sin x

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Q: Determine the antiderivatives of the following functions: 1. S(x+ 1)100dx 2. S(x²+x)1º(2x + 1)dx 3.…

A: Topic:- application of integration Note:-  as per our guideline if more than three subparts posted…

Q: Given the following functions: f(x) = 1 f(x) = x³ f(x)=x² f(x) = ! X dd function(s) A B C D…

A: Given Functions are : 1)f(x)=1 2)f(x)=x3 3)f(x)=x4 To Find :  Categories the above functions on the…

Q: Find the general antiderivative of f(x) = 2 cos (x) – 7 sin (x) and check the answer by…

A: For a function g(x) if f(x) is the derivative of the function such that ; d(g(x))dx=f(x) Then;…

Q: Differentiate the following functions: 1. y = x* cos t 2. f (t) = (1 – 3t)°0s !

A: Let's find.

Q: Differentiate the following functions: e2x+1x +2 .3 a) f (x) = sin (3x+2) %3D -1 sin(3x) V3t? +t-3…

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Q: 1. Find the antiderivatives of the following functions using the substitution rule. Write your…

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Q: Find the general antiderivative of f(x) = 4 cos (x) – 11 sin (x) and check the answer by…

A: given that:       f(x) = 4cosx - 11sinx we have to find first,   ∫f(x)dx then after we have to show…

Q: Find for the following function. dx x sin x 1+ Co3 X dx

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Q: 2. If f(x) = 2x – 1 and p(x) = = cos (x). Find x, for 0 < x < 2n, if (f •p)(x) = -2

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Q: Find each of the following derivatives. g(2) = 2:7 – e* In(z) f(t) = In(ct+3) + cos(3*) 1 g(x) = 2*…

A: This question can be solved using sum rule,product rule and chain rule of derivatives.

Q: Find for the following function. dx 3- cos X y = 4 + coS X

A: follow next styep

Q: Find the general antiderivative of each of the following functions. h(x) = sin 2x

A: Given:                  h(x)=sin2x   To determine:                  The general anti-derivative=?…

Q: Find the solution of the following problem accurate to within 10 using the Secant method. In(x – 1)…

A: Given function is ln(x-1)+cos(x-1)=0 and 1.3≤x≤2 So f(x)=ln(x-1)+cos(x-1) Let x0=1.3, x1=2 So…

Q: Given F(x) below, find F'(x). cos (x) F(x) = (1² + 10) dt 3

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Q: Suppose that function h (x) has antiderivative H (x) = 3 sin(x)+T. Which of the following are also…

A: The objective is to find the antiderivatives of h(x).

Q: Given that (1 COS 4.r) x2 a, if x = 0 if x 0. J 16+ Vx -4 If f(x) is continuous at x = 0, find the…

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Q: of the following function: ду Find the W = COS (x2 + 2 y) - e4x – z*y + y3

A: The given function is w=cosx2+2y-e4x-z4y+y3.

Q: - Show that the following functions satisfies the heat oquation = . (e>0, constant). 1)2 =e sin .…

A: Since you have posted multiple questions, but according to guidelines we will solve first question…

Q: Find the antiderivative for each. function WLen C =0 の 4C)--b Sin lan)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: . Find antiderivatives of the following functions. (a) f(x) = 2 cos(2x) sin(3x) + 3 sin(2x) cos(3x)…

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Q: 7. Determine the following general antiderivatives. | cos*(x) b. sin(x) xp- 10 10 | sin(x)cos(x)] d.…

A: Please see the below picture for detailed solution.