17. S* sin? 4 y cos² 2 y dy

Q: c) Evaluate the following Integration by parts for definite integrals. S xe-5* dx ii) . '2 Sin-'dx…

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Q: Q: 1. Find the value of the following integral: sin vi dx using Simpson's rule when n = 8.

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Q: Find the area under the curve y=sin2x from x=0 to x=3pi/4 A. 2 B. 1/2 C. pi D. 3/2…

A: The curve y=sin2x from x=0 to x=3π4

Q: sin(z) = z 3! +.. 7! 5! to calculate the following integral 0.5 | sin(E) dr to within an error of…

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Q: The following integrals a and b values are respectively -7.4 and 6 by that, n = 5 by the trapezoidal…

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Q: Q.1- Evaluate the following integrals (answer two only) a -1° V√x - √x₁ dx 0

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Q: y=sin

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Q: Use Simpson's and Trapzoidal rules to evaluate the following integral 1 co an accuracy of 0.0001…

A: we know the Simpson's rule ∫abfxdx≈∆x3fx0+4fx1+2fx2+4fx3+2fx4+....+2fxn-2+4fxn-1+fxn∆x=b-an we have…

Q: Evaluate each of the following integrals using the indicated technique (additional techniques may…

A: →Use ILATE to choose function(i) and function(ii), where function(i) is differential part     and…

Q: I5/Evaluate using Integration by partts, Substitutionjor both if necessarye tan casa) dx Express…

A: The objective of the question is evaluate the indefinite integral.

Q: dx When evaluating the definite integral / Te why must you 16 – x2" choose the antiderivative–coth…

A: Given:              ∫68dx16-x2 why must you choose the antiderivative 14coth-1x4 rather than…

Q: dy 6. So 1+y+1 6.56

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Q: Evaluate the definite integral. 1 e? + 6 dz Jo ez + 6z

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Q: Evaluate the definite integral So [(sect tant) i + (tant) j + (2 sin t cost) k] dt

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Q: Q2/ Find the value of the following integrals: 1- |((x+ y)dx +(y-x)dy), when c is given by, x = cos…

A: We have to evaluate the integral is ∫cx+ydx+y−xdy. where c is given by x=cosθ, y=sinθ and 0≤θ≤2π.…

Q: First make a substitution, and then use integration by parts to find the following definite…

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Q: Q.1- Evaluate the following integrals (answer two only) a- So √x e-√x dx 1

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Q: 12 Which expression represents the trapezoidal approximation T3 to the integral sin (V7) dx?

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Q: Evaluate the integral 7x sin y dy dx. 00 The value is (Type an exact answer, using x as needed.)

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Q: dx 4-e4x S sin 0 V1 – cos 0 d0

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Q: 4. Evaluate the integrals. Simplify your answers. d. cot x sec2x dx T/6

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Q: 1. Which of the following integrals are definite? Circle all that apply. 2t dt 13-sint 1. [e²*…

A: Definite integral means where the limit of the integral is given. In #a and #b they do not have…

Q: cos y dy 1+4 sin y 1 S cos-x dx

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Q: Evaluate the definite integral. 3 12√/5y + 1 dy 12√/5y + 1 dy = (Simplify your answer.)

A: Here is the solution:

Q: Q2 / A - Evaluate the following integrals by using parts method: 1) S2te-0.1 dt 2) Se2* cos x dx 3)…

A: As per the guidelines, we are suppose to answer  only first 3 subparts. Kindly repost the rest of…

Q: 6. Which of the following integrals can be solved easily using u-substitution? |* sin (z*)dz a² sin…

A: To find: The integrals that can be solved using u substitution. Concept used: ∫fgx·g'xdx=∫fudu…

Q: Approximate the following integrals using Gaussian quadrature with n = 3 and compare your answers to…

A: The Gaussian quadrature 3-point formula is  ∫abf(x)dx≈b-a259f(x1)+89f(x2)+59f(x3) Where,…

Q: Let Y(s) = L [8et sinh(11t) + sin? (11t)] Evaluate Y(s) at s = 1. Round your answer to three decimal…

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Q: 3. Evaluate (using appropriate substitutions if necessary) the following definite Integrals. (a) ,…

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Q: (a) So x²e*dx %3D (b) S a²2"dx = «0) f{(In(z))*dz = |

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Q: 1 a) I = S dx 1+cos(x)

A: Hi, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: Evaluate the following integral.

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Q: 3. Evaluate the following integrals. You might need to change the given integral to an equivalent…

A: As per Bartleby guidelines for more than one questions asked, only one is to be answered. Please…

Q: Q: Find the integral for the following functions: - 6 dx 1)2 x+2 2) fe x. In(x) dx 1 3) S: dx…

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Q: JY (x) Y (t-x) dx = 16 sin 4t. 0.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

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Q: '/2 Q4/ Find the Definite Integral cot 0 csc 0 de

A: Given: I=∫π4π2cotθcsc2θdθ...1 Use the substitution method to calculate the integral value.…

Q: Find approximate value of the following integral by using the Simpson method for n = 6. S° 10 sin…

A: I have rounded the final answer upto four decimal places.

Q: (d) Find the following indefinite integrals. xer (i) 1+e? xp. (ii) | cos (2r) sin (2r) dx

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Q: Secos(sin-tw)dv dv S- e2cos(sin¬{w) – 4 dv S- 4+ ecos(sin-w)

A: To find the values of dv such that the antiderivatives(integrals) exists.

Q: 3(cos x)²+2 -dx 2(cot x)°+4 cot x-5

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Q: Find and simplify the following integrals: S dx 11) (x-2)² 12) ſ cos(2x)e sin (2x) dx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the value of integral (x² + y³ + 2)ds, where C is parmeterized by 7(t) = (5 cos(2t), 5 sin(2t),…

A: Line integral over the curve.

Q: Choose the most appropriate answer The definite integral: e 5z dx = %3D 10 5. O lie10 1 e hOlie 10

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Q: Q;: Find the integration for the following functions: - (answer three only) In(x²+x)-Inx-e!nx 3-S-…

A: Given  1) The integration is  -∫π01-cos(2x)2dx .

Q: Q;: Find the integral for the following functions: - 1)Sdx V-2x+1 2) ſ e3se c(x), sec(x). tan(x) dx…

A: Now integrate the given function

Q: 7. Which of the following definite integrals is equal to 0? * dz B. z(z+ 1)dz c. (2 + 2) dz D. L(²…

A: As per our guidelines we can solve only one question. Rest questions can be reposted.  In question…

Q: Use a change of variables to evaluate the following definite integral. 6 S- dp /64 + p² 6 p | (Type…

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Q: 2) Compute the integral z cos(2?) sin(x²) dr two ways: (a) First, find an antiderivative of f(x) = x…

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Q: How should we choose u and du? Hint: we can write the integral as /1- sin-'z dz 1 sin-x in which…

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