Master definite integrals using our powerful Integral Calculator. Visualize and learn with step-by-step solutions that simplify and empower your understanding.
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x^2, e^x, sin(x).π or e.Integral calculus is essential in analyzing accumulation, area under curves, and continuous change. Our calculator focuses on definite integrals, solving them step-by-step with optional graphing.
The definite integral of a function f(x) over an interval [a, b] is defined as:
∫ab f(x) dx = F(b) - F(a)Where F(x) is an antiderivative of f(x).
∫u dv = uv - ∫v du.π or e in bounds for greater precision!Given I(t) = 5e^{-0.1t}, find charge transferred in 10 seconds:
Q = ∫010 5e^{-0.1t} dt ≈ 31.6 CEvaluate surplus under a linear demand curve:
∫020 (50 - x) dx = 400Start solving integrals like a pro—enter your function above and get instant clarity!
| Function | Definite Integral (0 to 1) | Technique |
|---|---|---|
| x^2 | 1/3 | Basic Power Rule |
| sin(x) | 1 - cos(1) | Standard Trig Integral |
| e-x² | ≈ 0.7468 | Numerical / Error Function |
| 1 / (x² + 1) | π/4 | Inverse Trig Identity |
| |x - 2| | Split at x = 2 | Piecewise Absolute Value |
| 1 / √x | 2 | Improper Integral (a = 0) |