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Fisika itu mudah/Daftar integral
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Sunting
<
Fisika itu mudah
Fungsi x berpangkat bilangan bulat
sunting
∫
x
n
d
x
=
1
n
+
1
x
n
+
1
+
k
,
n
≠
−
1
{\displaystyle \int x^{n}dx={\frac {1}{n+1}}\ \ x^{n+1}+k,\ \ n\neq -1}
∫
1
x
d
x
=
ln
|
x
|
+
k
{\displaystyle \int {\frac {1}{x}}\ dx=\ln |x|+k}
Fungsi trigonometri
sunting
∫
sin
(
a
x
)
d
x
=
−
1
a
cos
(
a
x
)
+
k
{\displaystyle \int \sin(ax)\ dx=-{\frac {1}{a}}\ \cos(ax)+k}
∫
cos
(
a
x
)
d
x
=
1
a
sin
(
a
x
)
+
k
{\displaystyle \int \cos(ax)\ dx={\frac {1}{a}}\ \sin(ax)+k}
∫
sec
(
a
x
)
t
a
n
(
a
x
)
d
x
=
1
a
sec
(
a
x
)
+
k
{\displaystyle \int \sec(ax)\ tan(ax)\ dx={\frac {1}{a}}\ \sec(ax)+k}
∫
sec
2
(
a
x
)
d
x
=
1
a
tan
(
a
x
)
+
k
{\displaystyle \int \sec ^{2}(ax)\ dx={\frac {1}{a}}\ \tan(ax)+k}
Situs yang berkaitan
sunting
http://www.math.unb.ca/sections/integrals/
http://integral-table.com/
http://math2.org/math/integrals/tableof.htm