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Integral Calculator

Integral calculator

This calculator computes the definite and indefinite integrals (antiderivative) of a given function with respect to a variable x.

Integral Calculator

compute the definite and indefinite integrals
help ↓↓ examples ↓↓

INSTRUCTIONS:

1 . Input function and select an operation to be performed.

2 . To input powers type symbol ^. Example: 3x^4+2x^2-4 = $3x^4 + 2x^2 - 4$.

3 . For square root use "sqrt". Example: $\sqrt{x+1} = \text{sqrt(x+1)}$.

4 . Supported constants: epi

5 . Supported functions: sqrtlne (use 'e' instead of 'exp')
Trigonometric functions: sin cos tan cot sec csc
Inverse trigonometric functions: acos asin atan acot asec acsc
Hyperbolic functions: sinhcoshtanhcothsechcsch

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0123456789–+•/^.()xsqrtlnesincostanC ✖

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Input function: ?

supported functions: sqrtln esincostanasinacosatan,...

Solve:

indefinite integral (default)

definite integral

Lower Bound =

inf = $\infty$ , pi = $\pi$ , e = $e$

Upper Bound =

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Examples

ex 1:

$$ \int x^2 + 3x - 1 \,dx$$

ex 2:

$$ \int x^2 \cdot\sin x \,dx$$

ex 3:

$$ \int_0^1 x^2 + 1 \,dx$$

ex 4:

$$ \int_1^e x \cdot ln x \,dx$$

Related calculators

Limit calculator

Derivative calculator

Find more worked-out examples in our database of solved problems.

Examples of valid and invalid expressions

Function to integrate	Correct syntax is	Incorrect syntax is
$$ (2x+1)^6 $$	(2x+1)^6	[2x+1]^6
$$ \frac{10x + 1}{x^2-4} $$	(10x+1)/(x^2-4)	10x+1/x^2-4
$$ \left(ln(x)\right)^2 $$	ln(x)^2	ln^2(x)
$$ x ~ ln\left(\frac{x-1}{x+1}\right) $$	x*ln((x-1)/(x+1))	x*ln(x-1)/(x+1)

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