Integral Table
Reference table of common integrals organized by category. Search and filter for the integral you need.
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9/10(55)
\u222B f(x) dx
Result
Category
\u222B x^n dx
x^(n+1)/(n+1) + C, n != -1
Power
\u222B 1/x dx
ln|x| + C
Power
\u222B e^x dx
e^x + C
Exponential
\u222B a^x dx
a^x / ln(a) + C
Exponential
\u222B ln(x) dx
x*ln(x) - x + C
Logarithmic
\u222B sin(x) dx
-cos(x) + C
Trigonometric
\u222B cos(x) dx
sin(x) + C
Trigonometric
\u222B tan(x) dx
-ln|cos(x)| + C
Trigonometric
\u222B cot(x) dx
ln|sin(x)| + C
Trigonometric
\u222B sec(x) dx
ln|sec(x) + tan(x)| + C
Trigonometric
\u222B csc(x) dx
-ln|csc(x) + cot(x)| + C
Trigonometric
\u222B sec^2(x) dx
tan(x) + C
Trigonometric
\u222B csc^2(x) dx
-cot(x) + C
Trigonometric
\u222B sec(x)*tan(x) dx
sec(x) + C
Trigonometric
\u222B csc(x)*cot(x) dx
-csc(x) + C
Trigonometric
\u222B 1/sqrt(1-x^2) dx
arcsin(x) + C
Inverse Trig
\u222B -1/sqrt(1-x^2) dx
arccos(x) + C
Inverse Trig
\u222B 1/(1+x^2) dx
arctan(x) + C
Inverse Trig
\u222B 1/(a^2+x^2) dx
(1/a)*arctan(x/a) + C
Rational
\u222B 1/sqrt(a^2-x^2) dx
arcsin(x/a) + C
Rational
\u222B 1/(x^2-a^2) dx
(1/2a)*ln|(x-a)/(x+a)| + C
Rational
\u222B x*e^x dx
e^x*(x-1) + C
By Parts
\u222B x*sin(x) dx
sin(x) - x*cos(x) + C
By Parts
\u222B x*cos(x) dx
cos(x) + x*sin(x) + C
By Parts
\u222B sin^2(x) dx
x/2 - sin(2x)/4 + C
Trig Identity
\u222B cos^2(x) dx
x/2 + sin(2x)/4 + C
Trig Identity
\u222B sinh(x) dx
cosh(x) + C
Hyperbolic
\u222B cosh(x) dx
sinh(x) + C
Hyperbolic
28 of 28 integrals shown. C = constant of integration.
About
A comprehensive reference of common integrals used in calculus courses. Covers power, exponential, logarithmic, trigonometric, inverse trig, rational, integration by parts, and hyperbolic functions.
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