I just had a math test where I had to use trapezoid rule to estimate the area from $a$ to $b$ under the curve:
$$ f(x) = \sqrt{x^3+2} $$
Is there a way to find the exact area under the curve with an integral or can you only estimate it with Simpson's or trapezoid rule?
I did try putting it through Wolfram Alpha and it told me it was unsolvable.