Calculate the Iterated Integral $\int _ { 0 } ^ { 1 } \int _ { x ^ { 2 } } ^ { x } ( x - 1 ) d y d x$

question 51

Multiple Choice

Calculate the iterated integral $\int _ { 0 } ^ { 1 } \int _ { x ^ { 2 } } ^ { x } ( x - 1 ) d y d x$

• A) - \(\frac { 1 } { 12 }\)
• B) - \(\frac { 1 } { 2 }\)
• C) - \(\frac { 3 } { 4 }\)
• D) \(\frac { 1 } { 2 }\)
• E) none of these