[tex] \huge\mathtt \red{question: } \\ \\ ∫ \frac{3}{2} {x}^{2} + 5x + c dx[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \huge \mathcal \red{answer : } \\ \\ \frac{1}{3} {x}^{3} + \frac{5 {x}^{2} }{2} + cx + k[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \huge \mathbb \red{explanation : } \\ \\ ∫ \frac{3}{2} {x}^{2} + 5x + c \: dx \\ \\ ∫ \frac{3}{2} {x}^{2} \: dx + ∫5x \: dx + ∫c \: dx \\ \\ \frac{1}{2} {x}^{3} + ∫5x \: dx + ∫c \: dx \\ \\ \frac{1}{ 2} {x}^{3} + \frac{5 {x}^{2} }{2} + ∫c \: dx = cx \\ \\ = \frac{1}{2} {x}^{3} + \frac{5 {x}^{2} }{2} + cx + k[/tex]

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