5th and last exercise of a 5-part course.
Giving 100p for each. Total of 500p.
(Everything must have a procedure)
5.
Determine the next multiple integrals and iterated integrals:
I.
[tex]\int\limits^1_0 \int\limits^{\sqrt{1-x^{2} }}_{0} {(x+y)} \, dydx[/tex]
II.
[tex]\int\limits^1_0 \int\limits^{2x^{2}} _0 \int\limits^{y^{2} }_y {6y^{3} z^{3} x^{4}+12x^{3} y^{2} z^{5} } \, dzdydx[/tex]
III.
[tex]\int\limits^2_0 \int\limits^x_0 \int\limits^{\frac{1}{4} (12-3x-6y)}_{0} {z} \, dzdydx[/tex]