Solve for f: gradf = (2xy + sin(x)i + (x2 + 2)j

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If \nabla f = (2xy + \sin x)\bold{i} + (x^2 + 2)\bold{j}, your answer is correct.
 
but then why webassign say it's wrong...
 
I checked again and It still looks right to me. Maybe you read the question wrong, or entered it wrong.
 
pretty sure it's not wrong... hmmm
 
okay.. I think the answer is right, it's just the way I format the answer in webassign and it doesn't accepts it.. also if I am asked:

Find the exact change in f between (0, 0) and (1, π/2).

do I just plug the numbers in?
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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