Antiderivative Calculator
Result
| Expression | Antiderivative |
|---|---|
| f(x) = 2x^2 + 3x + 1 | ∫f(x)dx = 2x^3/3 + 3x^2/2 + x + C |
Use Copy & Paste the Above Code into our Latex Parser tool to See the Mathematical View 🙂
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 |
\( 7 \) |