Integral . tolong pencerahannya kaa

Integral . tolong pencerahannya kaa

integral lipat dua

$sf intlimits^a_b intlimits^c_d {yx dy dx}$

Penjelasan dengan langkah-langkah:

$sf intlimits^1_0 intlimits^{x^2}_x {y^2 x } , dy , dx$

*kerjakan dy dulu

$sf = intlimits^1_0 [dfrac{xy^3}{3}]_{-x}^{x} , dx$

$sf = intlimits^1_0 dfrac{x(x^6 - x^3)}{3} , dx$

$sf = intlimits^1_0 dfrac{(x^7 - x^4)}{3} , dx$

*kerjakan dx

$sf = [dfrac{1}{24}x^8 - dfrac{1}{15}x^4]_{0}^{1} = - dfrac{1}{40}$