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# Definition of Integral PowerPoint PPT Presentation

Definition of Integral. Riemann Sum. Sum given by the formula. Integral. If f is defined on the interval [ a, b] and the limit exists, then this limit is called the definite integral of f from a to b . f(x) is called the integrand a is the lower limit b is the upp er limit.

Definition of Integral

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## Definition of Integral

### Riemann Sum

Sum given by the formula

### Integral

If f is defined on the interval [ a, b] and the limit

exists, then this limit is called the definite integral of f from a to b

f(x) is called the integrand

a is the lower limit

b is the upper limit

### Example

Express the Riemann sum below as an integral on the interval [ 0, π ]

### Example

Evaluate the integrals below