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Integral Calculus> evaluate ∫ (x^(-1/3) + sqrt(x) + 2)/cube ...

question mark

evaluate
∫ (x^(-1/3) + sqrt(x) + 2)/cube root(x) dx

taniska , 11 Years ago

Grade 12

1 Answers

Jitender Singh

Ans:
Hello Student,
Please find answer to your question below

$I = \int \frac{x^{-1/3}+\sqrt{x}+2}{x^{1/3}}dx$
$I = \int (x^{-2/3}+x^{1/6}+2x^{-1/3})dx$
$I = \int x^{-2/3}dx+\int x^{1/6}dx+\int 2x^{-1/3}dx$
$I = 3x^{1/3}dx+\int x^{1/6}dx+\int 2x^{-1/3}dx$
$I = 3x^{1/3}dx+\frac{6}{7}.x^{7/6}dx+3x^{2/3}+c$

Last Activity: 11 Years ago

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