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The Trapezoid Rule

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Wize University Calculus 2 Textbook > Integration Techniques

Numerical Integration

11 Activities

Wize University Calculus 1 Textbook > Integration Techniques

The Trapezoid Rule

3 Activities

Approximate ∫151+x2 dx\displaystyle\int\limits_{1}^{5}\sqrt{1+x^{2}}\,dx using the Trapezoidal Rule with n=8n=8 (answer correct to 2 decimal places).

More Numerical Integration Questions:
Practice Question: Trapezoid Rule Approximation
Practice Question
Given the integral ∫0πsin⁡(x2)dx{\displaystyle \int^{\sqrt{\pi}}_0}\sin\left(x^2\right)dx,
a) find the approximation for using the Trapezoid rule with n=2n=2.
More The Trapezoid Rule Questions:
Practice: Trapezoid Rule
Which of the following is the integral approximation of
∫0πsin⁡(x)dx\int_0^\pi \sin (x)dx
The Trapezoid Rule
Which of the following is the integral approximation of
∫13cos⁡(x3)dx\int_1^3 \cos (x^3)dx
using the trapezoid rule with n=3n=3?
The Trapezoid Rule
Use The Trapezoid Rule to approximate
∫251x−1dx\int_2^5\frac{1}{x-1}dx
using 4 subintervals
The Trapezoid Rule
Approximate the following using a Trapezoid approximation with 6 subintervals.
∫0πsin⁡xdx\int_0^{\pi}\sin xdx