What is the area under the curve y = $\frac { 1 } { 3 }$ + 3 $e ^ { 3 x }$ between x = - $\frac { 1 } { 3 }$ and x = $\frac { 1 } { 3 }$ ?
A) $\frac { 1 } { e }$ - e
B) e + $\frac { 1 } { e }$
C) $\frac { 9 \mathrm { e } ^ { 2 } + 2 \mathrm { e } + 9 } { 2 \mathrm { e } }$
D) $\frac { 2 } { 9 }$
E) none of these

Question

Quizplus · Accepted Answer

The area under the curve can be found by integrating the function from the lower to the upper limit. The integral of $y = \frac{1}{3} + 3e^{3x}$ from $-\frac{1}{3}$ to $\frac{1}{3}$ is not directly equal to any of the provided options after performing the integration and simplification, indicating that the correct answer is not explicitly listed among the options.

What Is the Area Under the Curve Y = 13\frac { 1 } { 3 }31​

What Is the Area Under the Curve Y = $\frac { 1 } { 3 }$