This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
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. b) Ake sixazulule i-integral elandelayo: ∫(3x² + 2x + 1) dx Step 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 Step 2: Hlukanisa izinombolo njalo. 3∫(x²) dx + 2∫(x) dx + ∫(1) dx Step 3: Sebenzisa umthetho we-power integration. 3 (x³)/(3) + 2 (x²)/(2) + 1 * (x¹)/(1) + C Step 4: Yenza lula. x³ + x² + x + C c) Impendulo yokuhlanganiswa kwe-integral ∫(3x² + 2x + 1) dx yi-x³ + x² + x + C. That's 2 down. 3 left today — send the next one.