Definite integral · cubic polynomial
Calculate definite integral · cubic polynomial and see the working behind your result.
Inputs
Use the units shown—
Enter your values and select Calculate.
Formula & explanation
∫ₗᵘp(x)dx = [ax⁴/4+bx³/3+cx²/2+dx]ₗᵘ
Variables & units
- Cubic coefficient · a
- Numeric value · minimum -1000000, maximum 1000000
- Quadratic coefficient · b
- Numeric value · minimum -1000000, maximum 1000000
- Linear coefficient · c
- Numeric value · minimum -1000000, maximum 1000000
- Constant · d
- Numeric value · minimum -1000000, maximum 1000000
- Lower bound
- Numeric value · minimum -1000, maximum 1000
- Upper bound
- Numeric value · minimum -1000, maximum 1000
Worked example
∫ from 0 to 2 of x³ dx = 4.
Assumptions
The integral is signed. Reversing the bounds changes its sign. This tool covers degree at most three.
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
Practice with an example
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