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Q: A et ex - 3x2 2 글 2 dx 3 B. Plex - 1x3 + C Clex - 3x + C D 이글-x+c x + C

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Q: Integral of 3x^5 + cos^2(5x) + 2sin(x)

A: we need to find the integration of the function

Q: ∫_1^3 (16-x2)dx is a definite integral. Determine function f(x).

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Q: integral of 2x/(2+x)

A: Let the given expression be denoted by integral I ;

Q: Find the increasing and decreasing of function  f(u)=ue^(u^n )+ln√(u^n+n) where n=516

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Q: Differentiate y=(x^2+5)(cubed root x^2+2) y'=

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Q: Integral from 0 to 1 of (3^x)/(e^x). The answer should be decimal

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Q: Find the indefinite integral for the function S (8y-9)-6 dy S (8y-S 9)-6 dy

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Q: I need to integrate  x^4/(x^2-1). I know that the first step is to rewrite, but how do I go about…

A: Given:

Q: Let f(x)=2-xe^x/2x+e^x. Find f'(0)

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Q: A solid object placed along the x axis has cross sectional area at a value x equal to A(x) = e^2x.…

A: A(x)=e2xgiven interval is -1,3formula for volume isV(x)=∫abA(x)dx

Q: valuate the indefinite integral given below. -1 (2æ) dx 20 tan 1+4x2

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Q: integral from 1 to 2 of (e1/x^3 ) / x4

A: To evaluate

Q: f(t) = (2t^2 + 3t + 1)^-8 what is f’(

A: Given; ft=2t2+3t+1-8 Now we find the derivative of the given function, Differentiate with respect to…

Q: What is the indefinite integral of (4x^2 - 3x + 8)/(x + 2) dx ??? I got (4x^2/2) + (11x) -…

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Q: Find f', given f'(x) f(x) = * sin(x4) x² +1

A: To find derivative of the function.

Q: F=11+/2x+3, find F'(3) find F'(8)

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Q: Find the 1st order derivative for    R(x,y) = [(x^2)/(y^2 + 1) ]  -   [(y^2)/(x^2  + y)]

A: Given function is R(x,y)=x2y2+1-y2x2+y Differentiate partially with respect to x.…

Q: I don't understand why d(r^3)/d(x1)=3r^2*dr/dx. Isn't supposed to be 0 because it is respect to x1.…

A: Need to find  where

Q: f(x)= (ex+2 +1/e-x -14ex+1) / (xex-ex/x+1 +lnee^x) differentiate?

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Q: 8-a dx- Jメーーα dx x-asece) du=aseco)tan@) JA x²-Q² =a²+an?(e) duzasecco tan c@) do 8C atan @)asecle)…

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Q: why is it f'(x)=(x^2+5)(1)-x(2x)/(x^2+5)^2  where did the (1) and 2x come from in the numerator?…

A: We have to explain the first order differentiation of the given function

Q: Try to guess a formula for f' (x) where f (x) = 2*. f' (x) =

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Q: Evaluate the given expression. Take 0-5 - [2 _3 -¯§]· 1² 1 -5 5* B 38⁰ 000 100 ↓1

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Q: integral from 2 to 3 of (x^3 - 2x) dx / x-1

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Q: f(x)=2x^3-15.4x^2+27x+2.25 (a)Determine the area under f(x) on the interval [-1,8]. Use the zeros…

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Q: f"(z) = 2r +2 and f'(-2) = -l and f(-2) = 4. Find f'(x) = x^2+2x-1 and find f(4) = = 266/3

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Q: The function f(z)=e^(-y) sin⁡x is analytic function

A: Here, f(x,y)=e-ysin x          =e-ysin x+i(0) So, let u=e-ysin x, v=0 Now, ux=e-ycos x and vy=0 So,…

Q: The answer isn't 4. I'm not sure what I should do?

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Q: ind the indefinite integral and check the result by differentiation. ep 1 Expand the integrand (5t-…

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

Q: 9 – cosh a f(x) = 9 + cosh a

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Q: Find the length of the curve x=e^t -t, y=e^(t/2), -8 less than or equal to t less than or equal to 3

A: The arclength for parametric curves is: L = ∫ab(dxdt)2+(dydt) Given  x=et-t, y =et2,      -8≤t≤3

Q: Describe several types of line integrals and discuss how they are related.

A: Solution :-

Q: parametrize the path that follows the graph of the function y=e^x from (0,1) to (1,e)

A: We parametrize the path that follows the graph of the function y=e^x from (0,1) to (1,e).