Question

trapezoidal and Simpson rules can be used to evaluate ​

Answer 1

Answer:

Trapezoidal and Simpson's rule are widely used to solve numerical integration problems. ... In order to accomplish the exactness we use some numerical examples and find their solutions. Then we compare them with the analytical result and calculate their corresponding error.

thank you.

Answer 2

Answer:

Trapezoidal and Simpson's rule can be used to evaluate the approximate values of antiderivatives or integration of special functions.

Step-by-step explanation:

There are many functions in mathematics whose integral can not be calculated easily so we have developed the special technique of numerical integration which is done just only by approximating the values. Now there are three methods by which numerical integration can be done and these are:-

1. Midpoint Rule

2. Trapezoidal Rule

3. Simpson's Rule

Among these three methods available for the numerical integration Simpson's rule gives the most approximate value because in this rule we calculate the value by dividing the function into piecewise functions.