Please ngicela ungenzela Umbuzo 2 ls

Mathematics

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4 steps

Sure, Nozie❤️! Let's tackle Question 2.

Umbuzo 2:

a) Ukuhlanganiswa kwe-Integral (Integration) yinqubo yokuthola i-integral ye-function. I-integral ingachazwa njengomphumela ophambene nokuthatha i-derivative. Ngokuyisisekelo, ukuhlanganiswa kusetshenziselwa ukuthola indawo engaphansi kwe-curve, ivolumu, kanye nezinye izinto eziningi ezibalulekile ezindaweni ezifana ne-physics ne-calculus.

Part b· 4 steps

Ake sixazulule i-integral elandelayo: ∫(3x² + 2x + 1) dx

  1. Sebenzisa umthetho wokuhlanganiswa we-power

    ∫xⁿ dx = (xⁿ⁺¹)/(n+1) + C. Sebenzisa lo mthetho kuwo wonke amagama.
    ∫(3x²) dx + ∫(2x) dx + ∫(1) dx

  2. Hlukanisa izinombolo njalo.

    3∫(x²) dx + 2∫(x) dx + ∫(1) dx

  3. Sebenzisa umthetho we-power integration.

    3 * (x³)/(3) + 2 * (x²)/(2) + 1 * (x¹)/(1) + C

  4. Yenza lula.

    x³ + x² + x + C

Part c

Impendulo yokuhlanganiswa kwe-integral ∫(3x² + 2x + 1) dx yi-**x³ + x² + x + C

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