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Calculate indefinite integral

Integrate a polynomial term-by-term and show + C.

Also known as: calculate indefinite integral calculator, integral calculator, calculate indefinite integral, calculus math, calculus calculate indefinite integral

Inputs

Results update when you click Integrate.

∫f(x)dx

0.1429x^7 + 0.6000x^5 + C

∫(x^6 + 3.0000x^4) dx = 0.1429x^7 + 0.6000x^5 + C

Term-by-term

TermIntegral
3.0000·x^40.6000·x^5
1.0000·x^60.1429·x^7
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What this result means

Integrate a polynomial term-by-term and show + C. ∫xⁿ dx = xⁿ⁺¹/(n+1) + C for n ≠ −1.

Assumptions

  • Rule dependency: Universal formula.

Power rule

∫xⁿ dx = xⁿ⁺¹/(n+1) + C for n ≠ −1.

Example

∫(3x + x³) dx = (3/2)x² + (1/4)x⁴ + C.

Frequently asked questions

Constant of integration?+

Always append + C for indefinite integrals.