Computer Science · Data Sheet

Integral Calculus Cheat Sheet

Symbol	Constant	Value	Unit
integral c*u dx	Constant multiple integral	integral c*u dx = c integral u dx	formula
integral (u+v) dx	Sum integral	integral (u+v) dx=integral u dx+integral v dx	formula
integral x^n dx	Power integral	integral x^n dx=x^(n+1)/(n+1)+C, n!=-1	formula
integral dx/x	Reciprocal integral	integral dx/x=ln\|x\|+C	formula
integral exp(x) dx	Exponential integral	integral exp(x) dx=exp(x)+C	formula
integral u dv	Integration by parts	integral u dv=uv-integral v du	formula
integral sin(x) dx	Sine integral	integral sin(x) dx=-cos(x)+C	formula
integral cos(x) dx	Cosine integral	integral cos(x) dx=sin(x)+C	formula
integral sec^2(x) dx	Secant squared integral	integral sec(x)^2 dx=tan(x)+C	formula
integral csc^2(x) dx	Cosecant squared integral	integral csc(x)^2 dx=-cot(x)+C	formula
integral sinh(x) dx	Sinh integral	integral sinh(x) dx=cosh(x)+C	formula
integral cosh(x) dx	Cosh integral	integral cosh(x) dx=sinh(x)+C	formula
integral dx/(a^2+x^2)	Inverse tangent integral	integral dx/(a^2+x^2)=arctan(x/a)/a+C	formula
integral dx/sqrt(a^2-x^2)	Inverse sine integral	integral dx/sqrt(a^2-x^2)=arcsin(x/a)+C	formula

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A searchable formula reference transcribed and normalized from the supplied Theoretical Computer Science Cheat Sheet.

Integral Calculus formula reference

This searchable reference organizes formulas from the supplied Theoretical Computer Science Cheat Sheet into web-friendly notation. Use the search box to find a formula by name or symbol, then review its assumptions before applying it.

Some identities use conventional mathematical notation such as summation limits, factorials, congruences, expectations and asymptotic bounds. These entries are reference material and should be interpreted within their stated domains.