Exercises Use the trapezoidal rule of integration to determine the value of the following integrals (a) [(2- x²) dx; with (h = 1) (b) x ex dx; with (h = 0.1) %3D

Q: S a³ (x² + a²) 3 dx

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Q: x² dx %3D Use right endpoints and = 10 rectangles to find an approximation of

A: Given, Use the endpoints and n= 10 rectangles

Q: Numerical Integration: 2 1 1. 2. =dx X 5 (2x² – 3x) dx 0 2

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Q: A2 Use the method of contour integration to evaluate the integral -19 I = (sin x)² x² + 16 dx.

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Q: Q2 _Calculate the integration (a) |(5x2 – 8x + 5)dx

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Q: Find p, q if f," f(x) dx – f" f(x) dx = [i s(x) dx. (Give your answers as whole or exact numbers.) p…

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Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: 1. Basic Integration a. fx(x + 1)dx b. S √ √x+x² dx x C. √₁²|x-1|dx

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Q: Q1: Find the Integration using Gamma Function Method: x*e-3xdx 0.

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Q: Use integration by parts and Legendre equation to find the value of the integra when n = M S (1 –…

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Q: Find the values of "a" such that f(x,t) = e ax + 6t satisfies the equation of 2f ot dx? smallest…

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