Integral Calculator
Power Rule (∫ xⁿ dx)
Integrate xⁿ using the power rule
Definite Integral (∫ₐᵇ xⁿ dx)
Evaluate a definite integral of xⁿ between bounds
Trigonometric Integral
Integrate common trigonometric functions
Formula
∫ xⁿdx = x^(n+1)/(n+1) + C (n≠-1) | ∫ x⁻¹dx = ln|x| + C | ∫ₐᵇ f(x)dx = F(b) - F(a)
Frequently Asked Questions
What is an integral?
An integral is the reverse of a derivative. It finds the area under a curve. The indefinite integral ∫f(x)dx = F(x) + C where F'(x) = f(x). The definite integral ∫ₐᵇf(x)dx gives the exact area between x=a and x=b.
What is the difference between definite and indefinite integrals?
An indefinite integral gives a family of functions (antiderivative + C). A definite integral evaluates the antiderivative at two bounds and gives a numerical value representing the area under the curve.
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