# Trapezoidal Rule Calculator

Use this online trapezoidal rule calculator to find the trapezium approximate integration with the given values. Just input the equation, lower limit, upper limit and select the precision that you need from the drop-down menu to get the result.

## Trapezium Approximate Integration

Conditions to write equation:
Write ey as exp(y) | logyx as log(x,y) | sin y as sin(y) | y2 as pow(y,2) | √y as sqrt(y)
Use y as an operand

Example :
To find : ey - log2y + 2y, Write : exp(y) - log(y,2) + 2*y
To find : √(1-(cos2y)), Write : sqrt(1-pow(cos(y),2))

Use this online trapezoidal rule calculator to find the trapezium approximate integration with the given values. Just input the equation, lower limit, upper limit and select the precision that you need from the drop-down menu to get the result.

Code to add this calci to your website  #### Formula :

abf(x) dx ≈ (b - a) × [(f(a) + f(b)) / 2] Where, a = Lower limit b = Upper limit

Trapezoid Rule: Trapezoidal rule is used to find out the approximate value of a numerical integral, based on finding the sum of the areas of trapezium. It is also known as Trapezium Rule or approximate integration method. A small overestimate can cancel slight underestimate from another trapezium. Here narrower intervals are used to improve accuracy.

The trapezoidal rule can be depicted as :

baIn x dx = h/2 [(y0 + y5) + 2(y1 + y2 + y3 + y4)]
Where 'x' is an equation 'a' refers Upper Limit and 'b' refers Lower Limit.

Approximate numerical integration is described through the numerical value. Using this free online trapezoidal rule calculator you can calculate the trapezoidal or trapezium value with ease.