Box.tools Beta - Features may be experimental

Integral Calculator

Calculate indefinite and definite integrals with step-by-step solutions and visual representation.

Integral Calculator
Calculate indefinite and definite integrals with step-by-step solutions
Function Visualization

About Integration

Integration is a fundamental concept in calculus that allows us to calculate areas, volumes, and accumulation of quantities over time or space. It is the reverse process of differentiation.

Common Integration Rules

Basic Rules

  • ∫x^n dx = (x^(n+1))/(n+1) + C, n ≠ -1
  • ∫e^x dx = e^x + C
  • ∫sin(x) dx = -cos(x) + C
  • ∫cos(x) dx = sin(x) + C

Integration Techniques

  • Substitution Method
  • Integration by Parts
  • Partial Fractions
  • Trigonometric Substitution