Using n= 6 approximate the value of 7 1 dx i x3 +1 using Simpson's rule, and Display the answer to 4- digits.

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Q: 14 es Approximate (x - 5) dx using 4 rectangles. om It is approximatley. em (If necessary, round to…

A: Solve the following

Q: impson's One-Thirds (Use n = 10) 7. S¯½ (5x³ − 2x² + x + 3) dx -24 sin r

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: While integrating[(x² – 3 ) Inx dx by integration by parts we get the value of v = a. 1 O b. x2 - 3…

A: Solution: Given ∫x2-3lnx dx

Q: (c) (1) Show that e +2)e +c, where c is a constant of integration. 5 "dx

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Q: Evaluate the integral. 2 8x dx   0

A: Integral of a^x = a^x/lna

Q: Of A to approximaté the integral. Round the answer to four decimal places. dx, n = 5 M5 = Need Help?…

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Q: Q1.Consider the integral 2. dx Draw the graph of f (X)? For which value of n the error in Simpson's…

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Q: hea 14 Approximate (x²-4) dx using 4 rectangles. It is approximatley (If necessary, round to two…

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Q: Evaluate the indefinite integral / ( 3: x? + 2 + 4 dx x2 Evaluate the indefinite integral 3 + 5e* )…

A: Given : ∫3x2 + 2x2 + 4dx∫3x + 5exdx

Q: Зx? — 2х — 4 A dx using В C | Evaluate the integral x3 – x2 – 4x +4 - 1 x+2 х — - 2 3x2 – 2x – 4 dx…

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Q: 4. Use a suitable numerical method to estimate , xln(x)dx, using h = 0.4. Use 4 decimal places in…

A: Here we will use right Riemann sum to estimate the integral  Given a function f(x) that is…

Q: 14 Approximate (x²-6) dx using 4 rectangles. 2 It is approximatley (If necessary, round to two…

A: Please follow the next step.

Q: 55. (x + 2)² sin x dx

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

Q: Question Using integration by parts, the integral f(9x 3)e*dx is equal to:

A: Given: ∫(9x-3)e3xdx Integration by parts: ∫uv dx=u∫v dx-∫dudx∫v dxdx Where, v and u functions of x

Q: sinh x - cosh? x is equal to O e- -1

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Q: Solving it with gamma and beta function 1 dx - Ln x

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Q: sin (x) 5- The value of the integral dx by using simpson method and n -2 is 2.6711 O None of the…

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Q: calculate SN given by Simpson’s Rule for the value of N indicated.

A: Formula used for Simpson's rule:

Q: Q1 Consider the integral - dx . 1+x? (a) Draw the graph of f(x). (b) For which value of n the error…

A: The graph of the function is sketched below using online graphing calculator.

Q: Calculate Tn and Mn for the value of N indicated (∫sqrt(x^2+1)) dx, N=5  Interval [1,2

A: By using formula of mid point rule and trapezoidal rule

Q: 1o. 1 |x-3|dx

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Q: Evaluate the definite integral 4x² + 3 -dx

A: Let's find.

Q: .2 dx -2

A: To evaluate  ∫-2bx2-xdx where b is a positive number.

Q: Using integration by substitution in ſ x³(x6 – 2)³dx, what is du? A. xdx В. бх5dx С. (х6 — 2)dx D.…

A: ∫x5(x6-2)dxPut x6-2=udifferentiate…

Q: Q12/ Find the integration * ( 3tan3*/* sec?(x/4)dx. Your answer

A: Given the integral. Using integral calculator,

Q: Integrating xsin(x) dx by parts in correct way,we obtain an expression Of the form A- -SB dx , then…

A: Using integration by parts

Q: 4 .Find the value of e dx, taking 6 subintervals by Simpson's rule.

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Q: The value of the Definite Integral 4 5 sec² æ dx = Answer:

A: Definite integral: - On the interval [a, b], the definite integral of a real-valued function f(x)…

Q: II. Perform the integration. sinh (e-") dx e² cosh(e-¤) 4.

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Q: Evaluate the integral. 1   0(3xe + 4ex) dx

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Q: Integrating sin(x) dx by parts in correct way, we obtain an expression Of the form A-SB dx , then B=…

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Q: sin? 6, determine a reduction formula for the 5 By the substitution x = integral 2(1- x)2 dx. Hence…

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Q: Definite Integral. 2.) S x²(2x³ + 1)*dx 4.) x?e*dx 6.) f- xp:

A: Given: ∫02x2exdx To find: evaluate the given integral

Q: Let c be the number such that the area under y = sin x over [0, x] is divided in half by the line y…

A: Consider the provided question, The area under the y = sinx is find as by integration,

Q: a) The shaded area is 0• er+2 dx -2

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Q: 16) Approximate ,xer'dx Using Gauss-Legendre 3 points formula G3(f)

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Q: sin (x) 5- The value of the integral dx by using simpson method and n = -2 is 2.6711 O None of the…

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Q: proof: -1 d du cot-1 dx 1 + u2 dx

A: Let cot-1u=t.  Therefore: u=cot t

Q: a+3 Use Ar = 0.5 and a left-hand sum to estimate xe* dx.

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Q: Evaluate S x(x + 2)2 dx by two methods: (a) Expand (x² + 2)? and multiply the result by x; (b) let u…

A: Given : integral of x(x² + 2)² dx

Q: 3) S 7x 4 dx Find the intergral. 4) S 125 dx X

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Q: valuate the definite integral. 3 dx e¯X + 4 Need Help? Read It Watch

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Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 So dx 6 x+8 Write your answer…

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Q: Using integration by parts, solve the following indefinite integral |x?eš*dx

A: We will evaluate the given integral.

Q: 5) Integrate (tnx)", for integer n=1, through 5, identify the pattern and propose a general formula…

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Q: 2. Approximate (x-3) dx using 4 rectangles. It is approximatiley (If necessary, round to two decimal…

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Q: Calculate SN given by Simpson's Rule for the value of N = 6. I cos(2x² ) dx (Round your answer to…

A: given the expression is , SN given by simpson's rule for the value of N=6 ∫01cos(2x2)dx

Q: Calculate SN given by Simpson's Rule for the value of N = 6. cos(3x²)dx (Round your answer to six…

A: given integral :