The value of the integral -1-3tx-x31-3-x4 d x isA- 6B- 0C- 3D- 4

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Integration by Substitution

The value of ...

Question

The value of the integral is

A. 6

B. 0

C. 3

D. 4

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Solution

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\int_{\frac{1}{3}}^{1} \frac{(x - x^{3})^{\frac{1}{3}}}{x^{4}} d x

\int_{\frac{1}{3}}^{1} \frac{(x - x^{3})^{\frac{1}{3}}}{x^{4}} d x

Choose the correct answer.
The value of integral
$\int_{\frac{1}{3}}^{1} \frac{(x - x^{3})^{\frac{1}{3}}}{x^{4}} d x$ is
(a)6
(b)0
(c)3
(d)4

If $(1 + i \sqrt{2})^{x}$ = $3^{x}$ , then its only integral solution is

\int_{\frac{1}{3}}^{1} \frac{(x - x^{3})^{\frac{1}{3}}}{x^{4}} d x

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