
The
integral of a power is the reciprocal of the exponent plus one times x to
the power of the exponnent plus one.


The
integral of a sum is the sum of the integrals of each function being added.


The
integral of a difference is the difference of the integrals of the functions
being subtracted.


The
integral of a constant times a function is the constant times the integral
of the function.


The
integral of a constant is the constant times x.


The
integral of an exponential function is the product of the exponential function
and the reciprocal of the natural logarithm of the base.


Since
the natural logarithm of e is 1, the integral of e^(x) is e^(x).


The
integral of 1 divided by x is the natural logarithm of x.


The
integral of the sine of x is the opposite of the cosine of x.


The
integral of the cosine of x is the sine of x.


The
integral of the tangent of x is the natural logarithm of the secant of x.


The
integral of the secant of x is the natural logarithm of the sum of the secant
of x and the tangent of x.


The
integral of the cosecant of x is the opposite of the natural logarithm of
the sum of the cosecant of x and the cotangent of x.


The
integral of the cotangent of x is the natural logarithm of the sine of x.
