Question #231371

3) Find the complete integral of p^3+q^3=27Z.


1
Expert's answer
2021-09-29T04:38:07-0400

27z+q3+p3− 27 z + q 3 + p 3

(27z+q3+p3)x+C( − 27 z + q 3 + p 3 ) x + C

(p3+q27z+3)dp=p(p3+4q108z+12)4\int{\left(p^{3} + q - 27 z + 3\right)d p} = \frac{p \left(p^{3} + 4 q - 108 z + 12\right)}{4}

answer;

(p3+q27z+3)dp=p(p3+4q108z+12)4+C\int{\left(p^{3} + q - 27 z + 3\right)d p}=\frac{p \left(p^{3} + 4 q - 108 z + 12\right)}{4}+C


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