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Table of basic functions integrals

Calculus | Number of views: 476

Integrals of rational, exponential and trigonometric functions
$$\begin{array}{|c|c|}
\hline
  \ \ \ \ \ f(x) \ \ \ \ \ & \ \ \ \ \ \int f(x) \ dx \ \ \ \ \ \\\hline
  a & ax+\text{C} \\\hline
  x & \frac{x^{2}}{2}+\text{C} \\\hline
  x^a & \frac{x^{a+1}}{a+1}+\text{C} \\\hline
  \frac{1}{x} & \ln |x|+\text{C} \\\hline
  {e^x} & {e^x}+\text{C} \\\hline
  {a^x} & \frac{a^x}{\ln a}+\text{C} \\\hline
  \sin x & -\cos x+\text{C} \\\hline
  \cos x & \sin x+\text{C} \\\hline
  \frac{1}{\cos^2 x} & \tan \ x+\text{C} \\\hline
  \frac{1}{\sin^2 x} & -\cot \ x+\text{C} \\\hline
\end{array}$$

Last time edited 2017-10-29

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