Find the antiderivative given below. dx

Q: + 8x2 + Vx dx

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Q: Find the antiderivative given below. e dz

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Q: Compute the given antiderivative. Use exact values. s dz = 5 2 X +C %3D

A: The given integration is: ∫5x dx To compute the given antiderivative.

Q: Draw a picture that shows the difference between dy and ∆y.

A: We know that, Δy is the exact change in y-values. dy is the approximate change in y-values by using…

Q: Evaluate dx K) at and ) dt, where a and b are constants. dx ](Simplify your answor.) %3D ] (Simplify…

A: Use fundamental theorem of calculus

Q: x^2 dx V1+x^3

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Q: If y(x) : ,determine the antiderivative of y(x). (Do not include the constant C in your answer.)…

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Q: J (금2 + 3z2 +1) dz 4. 6) dx 5.

A: 4) the integration of the integral is 3z4/4 +3z2+1 5) the integration of the integral is  -2x5/3 -6.

Q: x In (x?) dx

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Q: Evaluate the following antiderivatives a. ∫3sinx dx

A: Given: I=∫3sinxdx We know that ∫sinθdθ=-cosθ+c…

Q: Find the antiderivatives for dx = 77' + 5. dt X = + C. Hint: In WeBWorK, you write |x| with…

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Q: fas |(1+cos z)* dz

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Q: 5. Evaluate 2:3 √³+5 s dx.

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Q: 5. S 2x' dx 6. S*-5x* dx x3

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Q: Find the most general antiderivative. dx O -4 cot x + C 4 cot x + C -4 tan x + C tan x + C

A: We need to evaluate the following antiderivative ∫-4sec2xdx

Q: Evaluate I = |e dx using trapezoidal & Simpson methods. take h= 0.5.

A: Given: The integral is  I=∫02e-x2dx and h = 0.5   To determine: The value of the integral I using…

Q: Find the most general antiderivative. 4.9 #16 r(0) = sec 0 tan 0 – 2e®

A: Here we find the most general antiderivative of the given function.

Q: Find the most general antiderivative of the function. 1+t+t? a) g(t) = Vt b) h(x) = 2x + 4 sin(æ) c)…

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Q: Find the following antiderivative: 4. /(arctan r) dx, by using the substitution u = arctan x

A: Find the following antiderivative by substitution method

Q: dx ? What is the antiderivative of the integrand 2e* A - 2e -* + C + C 2 (c) - e -× + C D - 2 e* + C

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Q: Calculate the following antiderivatives: (a) ∫x^2dx (b) ∫x^4/7dx (c) ∫x^-5sqrt(x)dx

A: To find the antiderivatives of the given function.

Q: e2 dx 4e2x – 8e* + 5

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Q: 1+ 2 sec(Vx) dx Va sin(Va) tan(V¤) *

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Q: Evaluate 2z dV, where E is the solid hemisphere a + y? + z² 0. E

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Q: x?+2 x2+1 1. What is an antiderivative of a. x + arctan x- 5 b. x+ arccot x c. 2x + 3 d. x + 2arctan…

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Q: |(x – 1) (x? – 2x)°dx; u = x? – 2x

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Q: Calculate the following antiderivatives: Don't forget the constants. (a) dx = (b) (-5 sin x + 8 cos…

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Q: 1+2 sec(- T sin(, r) ta il

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Q: 2. Find the general antiderivative. If the substitution method is used, state first u, du and…

A: To find the antiderivative or integration of the given terms

Q: sec z dr

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Q: find the following antiderivative: 2x^2(-x^3+3)^5 dx

A: Consider the given expression is, ∫2x2-x3+35dx Then, -x3+3=u3x2dx=dux2dx=-du3

Q: Find the antiderivative given below. (6² +2° - e®)dx e°) dr

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Q: Q2: find the antiderivative of the following a) S x + e* + sec(x) tan(x) dx b) /블dx x+1 c) S(e* + +…

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Q: evaluate using the appropriate method or combination of methods.

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Q: J-1/2 sin(2:-3/2jår =

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Q: dx 4e2a -8e+5 e

A: We want to find the integral.

Q: Find all antiderivatives for dP = 24 - 4x. dx P(x) + C.

A: The given equation is dPdx=24-4x.

Q: What is the antiderivative of -dx? A 6x2 1/3 + C ® x/3 (2x% +9) + c %% + 6r/2 + c /2+c

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Q: Lind -2x+H where X- oro Zy

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Q: 47. e2= sin(5x) dr

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Q: dx ? What is the antiderivative of the integrand 2e* A) -2 e + C B *+ C - 2e * + C + C 2 D

A: The given integrand 12exdx

Q: Evaluate (x+y-4z) dV where E = {(x, y, 2) | - 6< y S 0,0 < æ < y, 0 < z < x + y²} . Round your…

A: We need to evaluate ∫∫∫E(x+y-4z)dV where E={(x,y,z) | -6≤y≤0 , 0≤x≤y , 0≤z≤x+y2}

Q: Find the most general antiderivative of f(x)=6e^x+5 sec^2(x), where -pi/2

A: Please see the answer below

Q: 2x dx V5 + 4x – x2

A: By see this solution below

Q: Find the general antiderivative. If the substitution method is used, state first u, du and [lu)du.…

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Q: Find the antiderivative for each. tunction WLen C=0. a) hlx) = xt

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Q: 12. /x² + 9 dx

A: Please refer the attached image for complete solution.

Q: eneral solution of the following exact differen (e4+2xy²)dx + (cos y + 2x²y)dy = 0. Os y %3D

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Q: Se% dx

A: Antiderivative is e7x7 +c  where c is arbitrary constant

Q: Find the most general antiderivative of f(x) = sin x cos x .

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