Compute the Integral $\int _ { 0 } ^ { 2 } \int _ { 0 } ^ { x } e ^ { x ^ { 2 } } \mathrm {~d} y \mathrm {~d} x$

question 96

Multiple Choice

Compute the integral. $\int _ { 0 } ^ { 2 } \int _ { 0 } ^ { x } e ^ { x ^ { 2 } } \mathrm {~d} y \mathrm {~d} x$

• A) \(\frac { 1 } { 2 }\)
• B) \(\frac { e ^ { 8 } } { 3 }\)
• C) \(2 e ^ { 4 }\)
• D) \(\frac { 1 } { 2 } \left( e ^ { 4 } - 1 \right)\)
• E) \(e ^ { 4 }\)

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