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Trapezoidal / Trapezium Rule Approximate Numerical Integration



Trapezoidal / Trapezium Rule is a method of finding an approximate value for an numerical integral, based on finding the sum of the areas of trapezia. Trapezium rule is also known as method of approximate integration. A slight underestimate will often be cancelled by a similar slight overestimate from another trapezium. Using narrower intervals will improve accuracy.

b∫aIn 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.

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Trapezoidal / Trapezium Rule Approximate Numerical Integration

Conditions to write equation:
Write exp(y) to calculate ey value
Write log(x,y) to find logyx value
Write sin(y) to get sin y value
Use pow(y,2) for y2
Use y as an operand
Please check your equation before submitting.
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Integral Calculus Calculator
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Upper Limit
Lower Limit
 
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Result    ∫f(y) =
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Numerical Approximate Integration using Trapezoidal / Trapezium Rule is made easier. Free Online Integral Calculus Calculator.

Related Calculator:
>>Romberg's Method.
>>Simpson's Rule.