Friday

August 29, 2014

August 29, 2014

Posted by **Jan** on Tuesday, September 12, 2006 at 8:21pm.

Antiderivatives is another word for integral.

Why area? THink on this...the integral is the sum of all the "heights" times width (dx). Take a look at this depiction of the trapezoidal rule:

http://metric.ma.ic.ac.uk/integration/techniques/definite/numerical-methods/trapezoidal-rule/

The anti-derivative is another name for the indefinite integral. The term integral is ambiguous here, we have both definite and indefinite integrals.

The definite integral is the area bounded by the function, the x-axis and the limits of integration. The last part of your question is slightly confusing. The definite integral is defined as the limit of a sum which represents the area under the function.

**Related Questions**

AP Calculus - Find the antiderivatives. 1) x (x+1) dx 2) (x^3-4)/ (x^2) dx...

antiderivatives - i need the antiderivative of sinxcosx dx for intergral pie/2 ...

calculus - how do you evauste the intergral intergral (2x^4-2x^3+6x^2-5x+1)/(x^3...

math - the intergral (10 4 (2x^2+3x+1)dx i have to find the sum of the intergral...

Calculus I - Section Antiderivatives: Find the function f(x) satisfying the ...

Calculus II - Can someone help me with this problem? Find f if f''(x) = x^-2, x&...

Calculus - A donut is generated by rotating the circle, S, defined by (x-3)^2 +y...

calculus -- PLEASE HELP! - Suppose you are trying to evaluate the intergral 2x^...

Calculus - Find the derivative of the following function using the appropriate ...

calculus - f(1)= 20, f(3)=13, f(5)=15, f(7)=16, f(9)=11, on [0,6] a, used ...