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Mathematics 8 Online
OpenStudy (anonymous):

need help on the attachment @Calculus1

OpenStudy (anonymous):

OpenStudy (across):

\[\int_{0}^{1}\pi(\sqrt[4]{x})^2dx-\int_{0}^{1}\pi(x^4)^2dx\]

OpenStudy (anonymous):

how come but side are the same

OpenStudy (across):

What do you mean?

OpenStudy (anonymous):

oh, wait my eyes are playing tricks on me I thought I saw a square root in the right integral

OpenStudy (across):

Yeah, integrals will do that to your eyes. :P

OpenStudy (anonymous):

I got 7pi/9 is that what you got?

OpenStudy (across):

They're subtracting.

OpenStudy (across):

\[\pi\int_{0}^{1}\sqrt{x}dx=\frac{2}{3}\pi\left[x^{\frac{3}{2}}\right]_{0}^{1}=\frac{2}{3}\pi,\]\[\pi\int_{0}^{1}x^8dx=\pi\left[\frac{1}{9}x^9\right]_{0}^{1}=\frac{1}{5}=\frac{1}{9}\pi,\]\[\frac{2}{3}\pi-\frac{1}{9}\pi=\frac{5}{9}\pi.\]

OpenStudy (anonymous):

dang I integrated wrong by different number number to the exponents beside the number 1

OpenStudy (anonymous):

oops! I forgot "adding" in between by and different

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