∫ | ∫ |

Use inf for +∞ and -inf for -∞ |

Coordinates | Decimals |

The double integral calculator that we present here is an excellent tool to solve all kinds of double integrals in rectangular or polar coordinates.

∫ | ∫ |

Use inf for +∞ and -inf for -∞ |

Coordinates | Decimals |

As you can see, the calculator has a very intuitive interface which makes it easy to use. To use it, you just have to follow the following steps:

For examples of double integrals you can press the “Examples” button.

Valid functions and symbols | Description |

sqrt() | Square root |

ln() | Natural logarithm |

log() | Logarithm base 10 |

^ | Exponents |

abs() | Absolute value |

sin(), cos(), tan(), csc(), sec(), cot() | Basic trigonometric functions |

asin(), acos(), atan(), acsc(), asec(), acot() | Inverse trigonometric functions |

sinh(), cosh(), tanh(), csch(), sech(), coth() | Hyperbolic functions |

asinh(), acosh(), atanh(), acsch(), asech(), acoth() | Inverse hyperbolic functions |

pi | PI number (π = 3.14159…) |

e | Neper number (e= 2.71828…) |

i | To indicate the imaginary component of a complex number. |

inf | ∞ |

Double integrals are all those integrals of functions in two variables over a rectangular region R2. A double integral represents the volume enclosed between a rectangular region R and a surface z=f(x,y) if f(x,y)>0. The double integral of a function of two variables, say f(x, y) over a rectangular region is represented by the following notation:

⌠⌡ |

d |

c |

⌠⌡ |

b |

a |

Double integrals are commonly used in physics, engineering, and other fields to solve problems involving the distribution of quantities over a region in two-dimensional space. For example, a double integral can be used to calculate the mass of an object by integrating its density over the volume of the object.

Consequently, if f(x,y)≥0 at almost all points in R,

and if f(x,y)≤0 at almost all points of R,