Explain why the exact value of the area enclosed by the polar curve for cannot be…

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Explain why the exact value of the area enclosed by the polar curve

r=e^{\theta^{2}}

for

0\le\theta\le 1

cannot be expressed using elementary antiderivatives, and state the practical consequence of this fact for computing the area.