Matematika Tentukanlah:1. ∫ (x² - 6x + 2) dx2. ∫ (3x² + 2) dx3. ∫ (x + 2) dx​

glennalubowitzulv – March 10, 2023

Tentukanlah:
1. ∫ (x² - 6x + 2) dx
2. ∫ (3x² + 2) dx
3. ∫ (x + 2) dx​

Semoga jawabannya membantu

1.

[tex] \displaystyle \int( {x}^{2} - 6x + 2) \: dx = [/tex]

[tex] \frac{1}{ 2 + 1 } {x}^{2 + 1} - \frac{6}{1 + 1} {x}^{1 + 1} + 2x = [/tex]

[tex] \frac{1}{ 3 } {x}^{3} - \frac{6}{2} {x}^{2} + 2x = [/tex]

[tex] \frac{1}{3} {x}^{3} - 3 {x}^{2} + 2x + C[/tex]

2.

[tex] \displaystyle\int(3 {x}^{2} + 2) \: dx = [/tex]

[tex] \frac{3}{2 + 1} {x}^{2 + 1} + 2x = [/tex]

[tex] \frac{3}{3} {x}^{3} + 2x = [/tex]

[tex] {x}^{3} + 2x + C[/tex]

3.

[tex] \displaystyle \int (x + 2) \: dx = [/tex]

[tex] \frac{1}{1 + 1} {x}^{1 + 1} + 2x = [/tex]

[tex] \frac{1}{2} {x}^{2} + 2x + C[/tex]

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