Antiderivative Calculator
Result
| Expression | Antiderivative |
|---|---|
| f(x) = 2x^2 + 3x + 1 | ∫f(x)dx = 2x^3/3 + 3x^2/2 + x + C |
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Common Function Examples
| Name | Example (How to Use) | Math View |
|---|---|---|
| Power | x^2 | \( x^2 \) |
| Square Root | sqrt(x) | \( \sqrt{x} \) |
| Exponential | e^x | \( e^x \) |
| Natural Logarithm | ln(x) | \( \ln(x) \) |
| Logarithm (Base 10) | log(x) | \( \log(x) \) |
| Trigonometric – Sine | sin(x) | \( \sin(x) \) |
| Trigonometric – Cosine | cos(x) | \( \cos(x) \) |
| Trigonometric – Tangent | tan(x) | \( \tan(x) \) |
| Arc Sine | asin(x) | \( \arcsin(x) \) |
| Arc Cosine | acos(x) | \( \arccos(x) \) |
| Arc Tangent | atan(x) | \( \arctan(x) \) |
| Hyperbolic Sine | sinh(x) | \( \sinh(x) \) |
| Hyperbolic Cosine | cosh(x) | \( \cosh(x) \) |
| Hyperbolic Tangent | tanh(x) | \( \tanh(x) \) |
| Absolute Value | abs(x) | \( |x| \) |
| Reciprocal | 1/x | \( \frac{1}{x} \) |
| Polynomial | 3x^3 + 2x^2 - x + 5 | \( 3x^3 + 2x^2 – x + 5 \) |
| Rational Function | (x^2 + 1)/(x - 3) | \( \frac{x^2 + 1}{x – 3} \) |
| Exponential Function | a * e^(bx) | \( a \cdot e^{bx} \) |
| General Logarithmic Function | log_a(x) (as ln(x)/ln(a)) | \( \log_a(x) = \frac{\ln(x)}{\ln(a)} \) |
| Product of Functions | sin(x) * cos(x) | \( \sin(x) \cdot \cos(x) \) |
| Sum of Functions | sin(x) + x^2 | \( \sin(x) + x^2 \) |
| Difference of Functions | tan(x) - x^2 | \( \tan(x) – x^2 \) |
| Constant | 7 | \( 7 \) |