Calculate the following integrals using the Cauchy integra formulas. a) -dz, l2l=2 (2 – 1)²(z – 3) | - sin® (2) b) dz. I2|=1 % – T/6

Q: Estimate the integral 1-1 + (2) dx by using appropriate Simpson's rule in dx. which the function y =…

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Q: Calculate the following integrals:

A: Calculate the integrals: (a) ∫16−x2dx

Q: T/2 2cosx dx 1+ (sinx)? -n/2

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Q: Find approximate value of the following integral exp(x²)dx for a=0; b=3. use 3 points Gauss…

A: The given problem is to approximate the value of definite integral over the given interval using 3…

Q: ind positive constants b and n, such that 3n + 2 n.

A: Finding the values of b and no

Q: Find the indefinite integral S(2x2 – 1) sin(5x) dx using integration by parts.

A: The given integral can be split into two parts as follows, ∫2x2-1sin5xdx=2∫x2sin5xdx-∫sin5xdx…

Q: Q1) Evaluate the following integral by using Odd and Even Powers Method: y = cos(x) dx

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Q: Use integration by part to find: (x+2)e²*d

A: We have to evaluate the given integral using integration by parts.

Q: In the integration of (cos y)^2 dy/(1 - sin y), what is the first step to solve the integral? a.…

A: Consider the integral: ∫cosy21-sinydy

Q: - 1. 1 [(ow + √w) dw

A: Given : ∫ω4+1ω4 dω To find :  Evaluate the given integral.

Q: Integrate the following derived functions:

A: This question can be solved using the concept of integration by substitution.

Q: (5) Find the integrals: •ftan²(x) dx ● fsec²(x) dx • ftan³(x) dx ●

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Q: 4. COS dx sin?

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Q: Evaluate the following integrations: 5. S sin?x cosxdx

A: See the details solution in below

Q: S* (x³ -1) dx 0 a. Use the trapezoid rule to approximate the following integrals: (using n = 4…

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Q: Evaluate the ∫ from 0 to 1 of xe−2x dx using integration by parts

A: Given, I=∫01xe-2xdx