Integral Calculator

Calculate definite integrals of polynomial, trigonometric, and exponential functions over any interval.

Function Type

Coefficient (c)

Parameter (n)

Lower Bound (a)

Upper Bound (b)

Tab to move between fields

Definite Integral

0.33333

Absolute Area0.33333

How to Use This Calculator

Select the Function Type (polynomial, trig, exponential) and enter the coefficient and exponent parameters.
Enter the lower bound (a) and upper bound (b) for a definite integral; the result is the signed area between f(x) and the x-axis.
Polynomial integrals are computed exactly using the power rule: ∫xⁿ dx = xⁿ⁺¹/(n+1).
Trigonometric and exponential integrals are computed analytically using standard antiderivative formulas.
A positive result means more area is above the x-axis in [a,b]; a negative result means more area is below.
The shaded chart shows the region of integration so you can verify bounds and visualize the area.

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