Skeetch, evalvate and reverse the order of [nteghation 2 dx dy

Q: а. Find the integral of e42 dz, where C is a circle z-2= 8 and x 1+ last digit of your ID.

A: In the given question we have to calculate the integral I=∮Ce4z(z-x)6dz where C is circle z-2=8 and…

Q: nt) Using the u-substitution u = 7x2 + 4, identify ƒ such that the integral dx takes the form | f(u)…

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Q: Complete the table by identifying u and du for the integral. u = g(x) du = g'(x) dx x4 + 3 dx u = du…

A: Please refer the attached image for complete solution.

Q: Set up but do not evaluate (an) integral(s) to find the area of the region inside both r = 2 + 2 cos…

A: We have to find

Q: Evaluate the improper integral: dx x In(x) а) 012 b) 02 c) Odiverges d) 01 e) 06

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Q: し- [x. +J+aCy-XP.-sPz> what is the paihial of x, ? derivahire in teams

A: In partial differentiation, we find the rate of change of a function with respect to one variable…

Q: a) Ś ingro find the value of the i od specify the integrel caiedes |-x2

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Q: Evaluate the integral f cos(lnx) dx = Select one: a. none

A: Given that,

Q: Evaluate the integral of e^x^3 x^2 dx from 0 to 2. * O 973.10 O 993.32 O 876.56 O 999.40

A: Given: ∫02ex3·x2dx Substitute u=x3 and differentiate it w.r.t 'x' dudx=ddxx3dudx=3x2du3=x2 Lower…

Q: Evaluate the iterated integral. 1 1I 11ze- dx dy dz O Jo Jo

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Q: Evaluate the iterated integral I = SoS(6,? + 8x) dxdy

A: Solve the following

Q: Use a computer algebra system to approximate the iterated integral. 2/2x (x + 4y) dy dx J.2 Viewing…

A: The given integral is (x3+4y3) limit of y from x2 to 2x and limit of x from 0 to 2.

Q: iS dx Evaluate the integral improper integral (2x- 1)3 - 00 1/4

A: we have to find the integral.

Q: Find the particular intengral of the following ODE d2y/dx2 + 9y = cos 3x

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Q: Evaluate the integral / cot x csc² x dx using the substitution u = cot x. cot³ x csc2 x dx +C

A: topic - integration

Q: dx Evaluate the improper integral Jo Jacx+1)

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Q: Evaluate the integral:S csc?xv1+ 3cotx dx. A. 등(1+3cotx) + c B. -(1+3cotx) + c c. (1+3cotx) + c…

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Q: Find the area +6 C1 R -6 +6 C2: 4x2 + y² = 16 -6 using green's theorem.

A: We are given the above region of which we need to find the area and as per the instruction, we need…

Q: Evaluate the following integral. 2. | cot 'x csc x dx ot 'x cscx dx 2. cot'x csc ´x dx =

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Q: Evaluate the improper integral: 17 dx a) O-17 b) Odiverges c) 17 d) O34 e) OV17 8 8.

A: Given integral is ∫-∞∞17x2dx. Adjust integral based on undefined points. There is undefined points…

Q: 5 dx 8x (x+1)? 1

A: First evaluate indefinate integral

Q: Find the integral. dx Select one: O A. 5ex - In lx| + C O B. 5xex - In |x| + C 5ex -1 2x2 C/2(x)…

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Given ∫-121xdx=ln|x|-12=ln2-ln1=ln2

Q: rite the integral in terms of u and du. Then evaluate. 10х — 14 dx, и %3 10х — 14

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Q: Evaluate the following integral fx cot"x dx Select one: 2 2 x² 2 x2 * cot"'x +2/1+x? +c O None

A: ∫x cot-1x dx using integration by parts  ∫uv dx=u∫v dx-∫dudx∫v dxdx Let, I=∫x cot-1x dx I=cot-1x∫x…

Q: Apply Green's Theorem to evaluate the integral P (4y² dx + 4x² dy) , where C is the triangle bounded…

A: See the details solution in below

Q: Evaluate the integral Scors cot x csc'x dx X CSC X

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Q: (a). Evaluate the following integral 1 dx x(x-1)? 2 -In(

A: Since all are different questions. So as per our guidelines, we are supposed to solve only first…

Q: Find the particular intengral of the following ODE d2y/dx2 +4y = sin 2x

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Q: ce³ dr dy dz.

A: Given integral is I=∫01∫0z∫20yze-y2dx dy dz First we integrate it with respect to x. I=∫01∫0z∫0ydx…

Q: エ. 9.) S(x?-4) (x²- 4x)' dx

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Q: Evaluate the improper integral dx (5 – x)³ K MANUSIA KERANA T

A: Recall: Improper Integral:      If f(x) is continuous on the interval [a,b) and not continuous at…

Q: To evaluate the [ Select] V S x? +1 dx using The Fundamental Theorem of Calculus, first I write down…

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Q: Evaluate the integral cosx dx from í/3 to π/2 * 0.134 0.500 0.293 0.707

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Q: Find the antiderivative of the integrand 49 dx. (A) 49* + C In 7 49* + C In 2 B C) + C 2 In 7 72x +…

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Q: The value of the double integral 32 dæ dy is O- 1536 O 1536 O 3072 -3072

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Q: Which integral represents the length of the graph of y = In. I over the interval 1, 2]: Select one:…

A: We can the application of integration in order to solve the given problem.

Q: cos (=) Consider S dx. Using u-substitution, determine which of the following is equivalent to the…

A: To find the u-substitution: ∫cosπxx2dx

Q: Evaluate the integral cosx dx from T/3 to Tu2 O 0.293 О 0.134 O 0.500 O 0.707

A: To evaluate the definite integral we didn't consider the integral constant at the end of the result.…

Q: Apply Green's Theorem to evaluate the integral O(6y dx + 6x dy), where C is the triangle bounded by…

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Q: Prove that the area of the cardioid 3 r = a(1- cose) is , πα?. 2

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Q: Calculate the left rectangle approximation of - using five subintervals. dx L5 = 1.260 O L5 = 0.746…

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Q: Evaluate the iterated integral: - 7 -X = S S e-* dydx е 8

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Q: Evaluate the iterated integral. 6 r8 × Jo Jo (x + y) dy dx

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Q: D Find a singular saluhion of DE: %3D

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Q: 1 3v2 dt Vt2 - 9 26 dx (x – 1)(x² + 25) | 3 16

A: Let t= 3secx then dt =3secx tanx  If t=6then  x=30° and if t=3√2 then x=π/4  So we get the…

Q: Compute the given integral. Jac dx +C

A: Solve the integration

Q: Find the integral. dx Select one: O A. 5ex - In |x| + C о В. 5хех - In \x| + C 5ex 2x2 C/2(x) with…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.