Question

Mohon bantuannya.....​

Answer 1

Penjelasan dengan langkah-langkah:

= 4x² + 4x³ + x⁴ dx

= x⁴ + 4x³ + 4x² dx

= ⅕ x⁵ + 4/4 x⁴ + 4/3 x³ + c

= ⅕ x⁵ + x⁴ + 4/3 x³ + c

Answer 2

Verified answer

Penjelasan dengan langkah-langkah:

[tex]\int(2x + {x}^{2} {)}^{2} dx \\ = \int(2x + {x}^{2} )(2x + {x}^{2} )dx \\ = \int \: {4x}^{2} + {2x}^{3} + {2x}^{3} + {x}^{4} \: dx \\ = \int {x}^{4} + 4 {x}^{3} + {4x}^{2} \: dx \\ = \int {x}^{4} \: dx + \int {4x}^{3} \: dx \: + \int \: {4x}^{2} \: dx \\ = \frac{ {x}^{4 + 1} }{4 + 1} + \frac{ {4x}^{3 + 1} }{3 + 1} + \frac{ {4x}^{2 + 1} }{ 2+ 1} \\ = \frac{ {x}^{5} }{5} + \frac{ {4x}^{4} }{4} + \frac{ {4x}^{3} }{3} \\ = \frac{ {x}^{5} }{5} + {x}^{4} + \frac{4 {x}^{3} }{3} + C[/tex]