Use the Trapezoidal Rule, the Midpoint Rule and the Simpson's Rule to approximate the integral -4 -0 √₂+ de 2 cos 0 with n = 6

Q: Using Rationalizing Substitution a=4, b = 9 a = 8,b=27 a=64, b= 729 a=2, b=3 729 S 64 dx √x - √√x =…

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Q: Use a trigonometric substitution to integrate the function f(x)=x√x² - 9 x². Check your work by…

A: put put x2-9=sin2t⇒2x dx=2 sin t cos t dtNow∫x (x2-9) dx=∫sin2t [sin t cos t dt]=∫sin2t. cos t .dt…

Q: 2=7 ry=2 FRE y=0 z=0 •x=√√/4-y² x=0 1 z+1 dx dy dz

A: To find the following integral. ∫z=0z=7∫y=0y=2∫x=0x=4-y2 1z+1 dx dy dz

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

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

A: The integrand can be written as:…

Q: Evaluate cos(√) dx by first making a substitution, then using integration by parts. Show all of your…

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Q: 2. / x + 4x x + 4x +13 dx

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Q: Differentiate f(r)= (3x² + 10 – sin r)º. -

A: Given:- f(x) =(3x2+10-sin(x))  To find:- Derivative of f(x)

Q: a) Using the substitution method to evaluate the following integral dx. b) Using the integration by…

A: 2. (a) Given,         ∫x-1x5dx

Q: x V4 – x² + c - dx V4 – x2 2 arcsin 2 8 IN

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Q: Find the smallest positive root by using the bisection method f(x) = 4 cos(2.x) –-x' +5 with 3…

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Q: Evaluate the integral 1 - √xé √x sec 1 2 sec | √xe¯ √x ³0c ² (2e √x - 2) dx = 2 ² (2e √x - 2) dx.

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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: consider the intergal (a) Evaluate by using the trig substitution and (b)…

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Q: 46. Evaluate the definite integral (3x² - 4x - 5)² (6x-4) dx. 81

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a…

Q: x sin x Evaluate the integral dx using residues. (4 + zX)(I + zX)

A: Given ∫0∞xsinxx2+1x2+4dx=imaginary part of ∫cRfzdz Let, fz=zeizz2+2z2+4 Singularities of  fz where…

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

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Q: 30 en (6ox+ 3o)dx 2.

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: Use integration by parts to prove the reductionformula.

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

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