bonjour
pour calculer les primitives
tu notes que 1/x² = x^-²
et √x = x^(1/2)
1/√x = x^(-1/2)
ensuite tu appliques la formule de la primitive
primitive de x^n = x^(n+1) /(n+1)
1)
x≠0
x² - x^-2
primitive = x³/3 - x^-1/-1= x³/3 +1/x
2)
sur R
2e^x -1-2x³
primitive
=2e^x -x- 2x^4/4
= 2e^x - x - x^4/2
3)
1 /√x +4
x^(-1/2) +4
primitive
= x^(1/2) / (1/2 ) +4x
=x^(1/2) × 2/1 +4x
=√x × 2 +4x
=2√x + 4x
sur I = [1;2]
