Integration Calculator

This is a calculator which computes the integrals (antiderivative) of a function with respect to a variable x.

$$ \begin{aligned} \displaystyle\int \sin\left(x\right)\, \mathrm d x \\\end{aligned} $$
$$ \begin{aligned} = -\cos x\ \\\end{aligned} $$



The calculator will computes an integral of given function. To solve definite integrals you need to provide values for upper and lower bound.
1. For powers use ^. Example: x12= x^12 ; ex+2= e^(x+2)
2. For square root use "sqrt". Example: x+1−−−−−√= sqrt(x+1).
3. Supported constants: e, pi
4. Supported functions: sqrt, ln ( use 'ln' instead of 'log'), e (use 'e' instead of 'exp')
5. Please keep 'x' always in '( )'. Example: sin(x)
6. Please use '1/2(1-cos(2x))' instead of 'sin²x'.
7. Please use '1/2(1-sin(2x))' instead of 'cos²x'.
8. Please use '(1-cos(2x)/(1-sin(2x)' instead of 'tan²x'.
Trigonometric functions: sin cos tan cot sec csc
Inverse trigonometric functions: acos asin atan acot asec acsc
Hyperbolic functions: sin(h), cosh, tanh, coth, sech, csch

example 1:
$$ \int x^2 + 3x - 1 \,dx$$
example 2:
$$ \int x^2\,sin x \,dx$$
example 3:
$$ \int x^2 + 1 \,dx$$
example 4:
$$ \int x \cdot ln x \,dx$$

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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