Evaluate the following integral: f*(1-e²³)dx a. Analytically b. Trapezoidal rule c. Composite trapezoidal rule, n = 2

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A: To evaluate the integral, the function z2-z-22+4 has to be first simplified. Now, z-2 can be…

Q: 1 Use the Trapezium Rule, with seven ordinates, to evaluate In(sin.r+3)dxcorrect to four decimal…

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A: Given: ∫-364g(x)-1 dx To find: The definite integral.

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Q: 2: Evaluate: Jsin x R/2 dx. Vsin x + Vcos x 01

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Q: fx csc x² c X CSC csc x² cot x² dx

A: +C

Q: Sketch and evaluate the reverse in tegral 9/x dy dz

A: Consider the provided integral,

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A: The trapezoidal rule is the technique used to find the approximation of the integral by dividing the…

Q: 4. V21-4x-x² dx

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Q: Use (a) the Trapezoidal Rule integral 1to 4    cos  2  x dx                 with n= 8

A: Given Data The integral is . The number of intervals is n=8.   The function of the given integral…

Q: Use the Midpoint Rule to evaluate the integral fx sin(x)dx.

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Q: Q3) Evaluate the following integral by using Trigonometric substitutions Method. 1 dx Vx2 – 9 y

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Q: Evaluate the integral dx (x + 1)(x² + 1) Sz

A: The integrand can be written as:…

Q: Make an octave code to integrate ex with respect to dx from 0 to 1, by Simpson’s ⅓ rule. Divide the…

A: Equation is f(x)=exThe value of the table for x and y x 0 0.25 0.5 0.75 1 y 1 1.284 1.6487…

Q: Evaluate the fellowing de firite integrils (*+) dx (१)

A: using these formula for solving the given integral

Q: Q3)Evaluate the following integral by using Trigonometric Substitutions Method. dx = √√√9x² +9 y =

A: Let's solve integration by using trigonometric substitution.

Q: Use the midpoint rule with n=5n=5 to estimate the value of the integral:…

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Q: Initially 80 grams of radioactive substance was present. After 2 hours the mass had decreased by 6%.…

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: Determine whether the sets s, and S, span the same subspace of R. S1 = {(3, 4, -3), (0, 3, 3), (6,…

A: We have given the sets , S1  and S2 as follows ,  S1 = 3 , 4 , -3 , 0 , 3 , 3 , 6 , 11 , -3 S2 = -6…

Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx y =

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Q: Find the genecal solution of the differential equation given below. e

A: To solving this equation first task is to make it exact differential equation by finding integral…

Q: Use (a) the Trapezoidal Rule integral 1to 4    sin x dx                 with n= 5

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