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AVprozaik [17]
3 years ago
6

Find the anti derivative of f(x)=fourth root(x^3)+cube root(x^2)

Mathematics
1 answer:
koban [17]3 years ago
4 0
\int {( \sqrt[4]{ x^{3} } + \sqrt[3]{ x^{2} }) } \, dx = \\ = \int {( x^{3/4}+  x^{2/3}   )} \, dx = \\  \frac{ x^{7/4} }{7/4}+ \frac{ x^{5/3} }{5/3}+C = \\  \frac{4 \sqrt[4]{ x^{7} } }{7}+ \frac{3 \sqrt[3]{ x^{5} } }{5}+C
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