webassign.net Given The Integral Above, Do The Following. (Rou. Alf Xuanyu Sheng

Question

webassign.net Given The Integral Above, Do The Following. (Rou. Alf Xuanyu Sheng Outlook ref-page-07 gif 978x989 pixels Hw 15 (7.6, 7.7): Integration by Table and Approx. 7. -12.5 points scalcet8 7.7.501 xp.nva My Notes Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) 3 n x dx, n 6 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule 8. O 0/2.5 points I Previous Answers scalcet8 7,7.502.xp.nva My Notes Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. Round your answers to six decimal places. 3vt sin 6t dt, n 8 (a) the Trapezoidal Rule -55.677782 X (b) the Midpoint Rule (c) Simpson's Rule

Explanation / Answer

Answer 7)

a)

x = (4 - 1)/6
x = 3/6
x = 0.5

A=(1/2) * (0.5) * ( f(1) + 2*f(1.5) + 2*f(2) + 2*f(2.5) + 2*f(3) + 2*f(3.5) + f(4) )

= 7.774002

============

b)

A=(0.5) * ( f(1.25) + f(1.75) + f(2.25) + f(2.75) + f(3.25) + f(3.75) )

=8.043137

===========

c)

A=(1/3)* (0.5) * ( f(1) + 4*f(1.5) + 2*f(2) + 4*f(2.5) + 2*f(3) + 4*f(3.5) + f(4) )

=7.895929

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.