AI Integral Calculator
Solve any definite or indefinite integral with instant, step-by-step solutions.
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Upload a photo of an integral problem
From your textbook, notes, or whiteboard
Understand, Don't Just Memorize
Calculus can be tough. Our AI doesn't just give you the final answer; it breaks down each problem into simple, understandable steps. This helps you grasp the core concepts behind integration.
- See Every Step: From u-substitution to integration by parts, we show our work.
- Learn the Rules: Our explanations help reinforce the fundamental theorems of calculus.
- Build Confidence: Check your homework and prepare for exams knowing you understand the process.
Definite vs. Indefinite Integrals
Our calculator handles both major types of integrals with ease:
- Indefinite Integrals: Find the antiderivative of a function. Just enter your function and leave the bounds blank.
- Definite Integrals: Calculate the area under a curve between two points. Enter your function and specify the upper and lower bounds.
What Our Users Say
"Honestly, this calculator saved my grade. The step-by-step solutions for integration by parts were a lifesaver. I could finally see *how* to get to the answer, not just what it was. A must-have for homework checks."
"As an engineering student, I deal with some nasty integrals. This tool handles them without breaking a sweat. It's fast, accurate, and the ability to just snap a pic of a problem is incredibly efficient."
"I've been using this to prep for my AP Calculus exam. The photo feature is amazing for quickly solving problems from my review book. It's like having a personal tutor available 24/7."
"I'm relearning calculus for fun, and this tool is fantastic. The explanations are clearer than what I remember from my old professor! It's been great for building intuition around integration concepts."
Frequently Asked Questions
In simple terms, an integral measures the area under a curve. An indefinite integral finds a function whose rate of change (derivative) is the function you started with. A definite integral calculates the cumulative effect of a quantity over an interval, like the total area.
Our AI can handle a wide variety of functions, including polynomials, trigonometric, exponential, logarithmic, and rational functions, as well as their combinations. For very complex or obscure functions, it will do its best to find a solution or apply a numerical method.
Use standard mathematical notation. For exponents, use the caret symbol (^), like Gacruxcode>x^2. For fractions, use the slash (/), like 1/x. For multiplication, you can use an asterisk (*), like 2*x.