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Hjilderda/integration
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User:Hjilderda
Testgevallen voor integratiemethodes
n
f
n
(
x
)
{\displaystyle f_{n}(x)}
a
b
∫
a
b
f
n
(
x
)
d
x
{\displaystyle \int _{a}^{b}\!f_{n}(x)\,dx}
1
e
x
{\displaystyle e^{x}}
0
1
1,718281828459046
2
sinc
(
x
)
{\displaystyle \operatorname {sinc} (x)}
−
π
{\displaystyle -\pi }
π
{\displaystyle \pi }
3,703874103964932
3
cos
(
x
)
{\displaystyle \cos(x)}
0
1
0,8414709848079
4
{
x
e
x
−
1
als
x
≠
0
1
als
x
=
0
{\displaystyle {\begin{cases}{\frac {x}{e^{x}-1}}&{\text{als }}x\neq 0\\1&{\text{als }}x=0\end{cases}}}
0
1
0,77750463411225
5
1
1
+
x
2
{\displaystyle {\frac {1}{1+x^{2}}}}
0
1
0,78539816339745
6
x
1
4
{\displaystyle x^{\frac {1}{4}}}
0
1
0,8
7
x
3
2
{\displaystyle x^{\frac {3}{2}}}
0
1
0,4
8
⌊
x
⌋
{\displaystyle \lfloor {x}\rfloor }
0
10
45