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Trapezoidal Rule Calculator

Trapezoidal rule is used to find out the approximate value of an numerical integral, based on finding the sum of the areas of trapezia. It is also known as Trapezoid Rule or Trapezium Rule or approximate integration method. A small overestimate can cancel slight underestimate from another trapezium. Using narrower intervals will improve accuracy. Use this online trapezoidal rule calculator to find the trapezium approximate integration with the given values.

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))

Formula :

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

Approximate numerical integration is described through the numerical value. Using this Free online calculator helps you to calculate the trapezoidal or trapezium value.
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.