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Jinsi ya kukokotoa Integral

Integral ni nini?

Integration calculates area under curve: ∫f(x)dx = F(x) + C where F is antiderivative; inverse of differentiation.

Mwongozo wa Hatua kwa Hatua

  1. 1Input function and limits (definite) or just function (indefinite)
  2. 2Apply integration rules: power rule, u-substitution, parts
  3. 3Results show antiderivative or area

Mifano Iliyotatuliwa

Ingizo
∫(x² + 3x) dx from 0 to 2
Matokeo
Area = [x³/3 + 3x²/2] evaluated = 8/3 + 6 = 26/3

Makosa ya Kawaida ya Kuepuka

  • Forgetting constant of integration
  • Mis-applying u-substitution

Maswali yanayoulizwa mara kwa mara

What does integration represent?

Area under curve; accumulation of quantities; inverse of differentiation.

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