Question

Exercícios 2
Ajudaaaaaa

Answer 1

Resposta:

Integral indefinida.

$integral( \sqrt{x} + \sqrt[3]{x} )dx = \\ \\ integral( {x}^{ \frac{1}{2} } + {x}^{ \frac{1}{3} } )dx = \\ \\ \frac{ {x}^{ \frac{1}{2} + 1} }{ \frac{1}{2} + 1 } + \frac{ {x}^{ \frac{1}{3} + 1} }{ \frac{1}{3} + 1} + k = \\ \\ \frac{ {x}^{ \frac{3}{2} } }{ \frac{3}{2} } + \frac{ {x}^{ \frac{4}{3} } }{ \frac{4}{3} } + k = \\ \\ {x}^{ \frac{3}{2} } \times \frac{2}{3} + {x}^{ \frac{4}{3} } \times \frac{3}{4} + k = \\ \\ \frac{2 \sqrt{ {x}^{3} } }{3} + \frac{3 \sqrt[3]{ {x}^{4} } }{4} + k = \\ \\ \frac{2 \sqrt{ {x}^{2} \times x} }{3} + \frac{3 \sqrt[3]{ {x}^{3} \times x} }{4} + k = \\ \\ \frac{2 \sqrt{ {x}^{2} } \times \sqrt{x} }{3} + \frac{3 \sqrt[3]{ {x}^{3} } \times \sqrt[3]{x} }{4} + k = \\ \\ \frac{2x \sqrt{x} }{3} + \frac{3x \sqrt[3]{x} }{4} + k ,\: k \: € \: R$

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