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Integral calculator

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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
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indefinite integral (default)
definite integral
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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:
$$ \int_1^e x \cdot ln x \,dx$$
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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