If f(n) = 2 + sin(2√a) is defined on the in [1₂6], h= 1/2, find the integrat value the numerical integral by using taufe Zoido meshed and the Simpsons metheel.

Q: 3. 4r sin(4r + 5) dr ( 4x10 + 2xª + 15.r" 4 + (3r r² + 1 – 5)") 4. dr

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Q: Use the substitution formula to evaluate the integral. 0 (1 + cos (5t)) sin (5t)dt

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Q: Solve the definite integral using usub

A: To integrate,

Q: Evaluate the definite integral. (x4 - Jo 5x + 6x) dx

A:

Q: 5tan 2x -dx sin²2x-1 8.

A: Put tan2x=t and using integration of ax dx =ax /loga

Q: Evaluate the integrals

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Q: Find the integral of f(x) = 1 √1-16x² between 0 and 1.

A: The given integral is 1/sqrt(1-16x2).

Q: What is the integral of 10pi(4-y)(sqrt(siny))dy from 0 to pi?

A: Let I=∫0π10π4-ysinydy Then, ∫0π10π4-ysiny…