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| xn dx = xn+1 (n+1)-1 + C (n -1) Proof | x-1 dx = ln|x| + C |
Used with permission from Dave's Math Tables Formula Derivations - (High School +) Derivations of area, perimeter, volume and more for 2 and 3 dimensional figures. Using innovative designs, Lifetime’s tables are lightweight and durable, providing the perfect place for family and friends to gather together. As the manufacturer of the original resin tables, Lifetime Products has created tables for all occasions, including banquet tables, game tables, party tables, camping tables, kids' tables, and much more! Note: Excel tables should not be confused with the data tables that are part of a suite of what-if analysis commands. For more information about data tables, see Calculate multiple results with a data table. Learn about the elements of an Excel table. A table can include the following elements. Math - math tables, explainations, examples, and bulletin board. Math- the question answerer. Math.com- general math resources; The Math Forum- many good math resources organized by subject, plus an extensive archive on commonly-asked questions. The Math Archives- lesson plans, software, resouces, and web-sites for K-12 math.
Exponential / Logarithmic| ex dx = ex + C Proof | bx dx = bx / ln(b) + C Proof, Tip! |
| ln(x) dx = x ln(x) - x + C Proof |
| sin x dx = -cos x + C Proof | csc x dx = - ln|csc x + cot x| + C Proof |
| cos x dx = sin x + C Proof | sec x dx = ln|sec x + tan x| + C Proof |
| tan x dx = -ln|cos x| + C Proof | cot x dx = ln|sin x| + C Proof |

| cos x dx = sin x + C Proof | csc x cot x dx = - csc x + C Proof |
| sin x dx = -cos x + C Proof | sec x tan x dx = sec x + C Proof |
| sec2 x dx = tan x + C Proof | csc2 x dx = - cot x + C Proof |
| arcsin x dx = x arcsin x + (1-x2) + C |
| arccsc x dx = x arccos x - (1-x2) + C |
| arctan x dx = x arctan x - (1/2) ln(1+x2) + C |

| Useful Identities arccos x = /2 - arcsin x arccsc x = /2 - arcsec x arccot x = /2 - arctan x |
Hyperbolic| sinh x dx = cosh x + C Proof | csch x dx = ln |tanh(x/2)| + C Proof |
| cosh x dx = sinh x + C Proof | sech x dx = arctan (sinh x) + C |
| tanh x dx = ln (cosh x) + C Proof | coth x dx = ln |sinh x| + C Proof |
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for a proof/discussion of a theorem.| To solve a more complicated integral, see The Integrator at http://integrals.com. |
