Question

Calcule as seguintes integrais

Answer 1

a)

$\displaystyle\mathsf{\int~5dx=5x+k}$

b)

$\displaystyle\mathsf{\int~x^{20}dx=\dfrac{1}{21}x^{21}+k}$

c)

$\displaystyle\mathsf{\int(x+\sqrt{x})dx=\dfrac{1}{2}x^{2}+\dfrac{2}{3}x^{\frac{3}{2}}+k}$

d)

$\displaystyle\mathsf{\int\dfrac{\sqrt{x}}{x}dx=\int~x^{-\frac{1}{2}}dx=2x^{\frac{1}{2}}+k}$