In Problems 9 to 12, evaluate the definite integrals using the Simpson's rule, giving the answers correct to 3 decimal places. -π/2 9. f/² √sinx dx. (Use 6 intervals) [1.187]

Q: Evaluate the definite integral: 3 ƒ³₁ x(x² + 1)³/² dx. Give your answer correct to 2 decimal places.

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Q: ental Theorem of Calculus. Remember to include a "+ C" if appropriate.

A: Here we have to evaluate  by the fundamental theorem of calculus.

Q: 2 3 dx

A: Some properties of integration  I=∫g'(x)f(g(x))dx, put  t=g(x)   then I=∫f(t)dt ∫axdx=axloga+C

Q: "/2 cos* x dx /4 sinb x

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Q: Consider the nonhomogeneous differential equation 1 y" (x) + y(x) = e # +: sin a

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Q: L(x5 – 4x3 + 2x) dx

A: See attached file for a step by step explanation.

Q: 1 dx x² + x r2

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Q: Show that the polynomial 1+x+x² +... +xP-1 , where p is a prime number, is irreducible over the…

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Q: II. Evaluate the definite integral. Use a graphing utility to verify your result. a. Sos|2x – 5|dx…

A: Given that

Q: | Va? – 4 x² – 4 dx x2

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Q: For items 9 and 10, refer to f - (x*+1)dx x*+2x3+x² 9. What is the degree of the polynomial in the…

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Q: Jay is doing his mathematics homework on the run. He managed to squeeze in one problem between lunch…

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Q: B. Evaluate the definite integral using the Simpson's rule, giving the answer correct to 3 decimal…

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Q: determine if the equations is linear or no linear and state why. If linear, state the order of the…

A: Given differential equation3x^2y^n-6xy^3y^t+4x=0A differential equation is called linear if…