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# Appliquer les propriétés des intégrales

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## Exercice 1

Sachant que integral, start subscript, minus, 5, end subscript, start superscript, minus, 1, end superscript, f, left parenthesis, x, right parenthesis, d, x, equals, 4, integral, start subscript, 3, end subscript, start superscript, 5, end superscript, f, left parenthesis, x, right parenthesis, d, x, equals, 9 et integral, start subscript, minus, 5, end subscript, start superscript, 5, end superscript, f, left parenthesis, x, right parenthesis, d, x, equals, 10, calculer :
a) integral, start subscript, minus, 1, end subscript, cubed, f, left parenthesis, x, right parenthesis, d, x, equals

b) integral, start subscript, minus, 1, end subscript, start superscript, 5, end superscript, f, left parenthesis, x, right parenthesis, d, x, equals

c) integral, start subscript, minus, 5, end subscript, start superscript, minus, 1, end superscript, 7, f, left parenthesis, x, right parenthesis, d, x, equals

d) integral, start subscript, 5, end subscript, start superscript, minus, 5, end superscript, f, left parenthesis, x, right parenthesis, d, x, equals

### Une dernière question

e) integral, start subscript, 3, end subscript, start superscript, 5, end superscript, left parenthesis, f, left parenthesis, x, right parenthesis, plus, 4, right parenthesis, d, x, equals

## Exercice 2

Sachant que integral, start subscript, minus, 8, end subscript, start superscript, minus, 2, end superscript, g, left parenthesis, x, right parenthesis, d, x, equals, 11, integral, start subscript, minus, 8, end subscript, start superscript, 0, end superscript, g, left parenthesis, x, right parenthesis, d, x, equals, 5 et integral, start subscript, minus, 2, end subscript, start superscript, 8, end superscript, g, left parenthesis, x, right parenthesis, d, x, equals, minus, 5, calculer :
a) integral, start subscript, minus, 2, end subscript, start superscript, 0, end superscript, g, left parenthesis, x, right parenthesis, d, x, equals

b) integral, start subscript, 0, end subscript, start superscript, 8, end superscript, g, left parenthesis, x, right parenthesis, d, x, equals

c) integral, start subscript, 8, end subscript, start superscript, minus, 8, end superscript, 10, g, left parenthesis, x, right parenthesis, d, x, equals

### Une dernière question

d) integral, start subscript, 0, end subscript, start superscript, 8, end superscript, left parenthesis, g, left parenthesis, x, right parenthesis, plus, x, right parenthesis, d, x, equals

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