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Question

Multivariable Calculus Question on Integral Calculus

Let c > 0 be such that
0ces2ds=3\int^c_0e^{s^2}ds=3
Then, the value of
$$0c(0cex2+y2dy)dx\int\limits_{0}^c\left(\int\limits^c_0 e^{x^2+y^2}dy\right)dx
equals __________(rounded off to one decimal place).

Answer

The correct answer is 4.4 to 4.6. (approx)