Newton-Leibniz Formula Test

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Calculate:
1
∫
0
x
x
Answer!
​
∫
x
x =
2
3/2
x
3
1
∫
0
x
x =
2
3/2
1
3
- (
2
3/2
0
3
)
This Demonstration provides examples for the Newton–Leibniz formula, that is, the fundamental theorem of calculus:
b
∫
a
f(x)dx=F(b)-F(a)
, where
F(x)
is an antiderivative for
f
.

External Links

Definite Integral (Wolfram MathWorld)
Indefinite Integral (Wolfram MathWorld)
Fundamental Theorems of Calculus (Wolfram MathWorld)

Permanent Citation

Izidor Hafner
​
​"Newton-Leibniz Formula Test"​
​http://demonstrations.wolfram.com/NewtonLeibnizFormulaTest/​
​Wolfram Demonstrations Project​
​Published: April 18, 2013