∫ Integral Solver

🎯 Getting Started

This tool solves both indefinite and definite integrals for algebraic, trigonometric, exponential, and logarithmic functions.

• Indefinite Integrals: Leave bounds empty to find the general antiderivative
• Definite Integrals: Enter lower and upper bounds to calculate the exact area

✏️ Function Input

Enter functions using standard mathematical notation:

• Basic Operations: +, -, *, /, ^ (power)
• Variables: Use x as the variable
• Trigonometric: sin(x), cos(x), tan(x), sec(x), csc(x), cot(x)
• Inverse Trig: asin(x), acos(x), atan(x)
• Exponential: e^x or exp(x)
• Logarithmic: ln(x) or log(x)
• Roots: sqrt(x) or x^(1/2)

📊 Visual Area Mapping

For definite integrals, the graph automatically shades the area under the curve:

• Green shading: Positive area (above x-axis)
• Red shading: Negative area (below x-axis)
• Net Area: The definite integral value represents the signed area

🔢 Example Inputs

• x^2 from 0 to 5 → Area under parabola
• sin(x) from 0 to pi → Area of sine wave
• e^x from 0 to 2 → Exponential growth area
• 1/x from 1 to 10 → Natural logarithm area
• sqrt(x) from 0 to 9 → Square root curve