MathCastle
Multivariable CalculusChallengeTriple Integrals & Coordinate Systems

Triple Integrals & Coordinate Systems · Challenge problem

Evaluate ∫01 ⁣∫z1 ⁣∫y111+x3 dx dy dz\displaystyle\int_0^1\!\int_z^1\!\int_y^1\dfrac{1}{1 + x^3}\,dx\,dy\,dz. Give an exact answer.