Question

Solve the following:
$\boxed{\boxed{\begin{array}{cc}\displaystyle \int \: \rm \: \frac{1}{ \sqrt[3]{1 - {x}^{3} } } \: \: dx \: \end{array}}}$

Its answer is given in the attachment.

Please answer it by proper explanation.

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Answer 1

${\begin{array}{cc}\displaystyle\int\rm\frac{1}{ \sqrt[3]{1 - {x}^{3} } }dx \: \end{array}}$

Answer 2

Answer:

Subscripts and superscripts (such as exponents) can be made using the underscore _ and carat ^ symbols respectively.

Symbol Command Symbol Command

$2^{2}$ 2^2 $\textstyle a_i$ a_i

$\textstyle 2^{23}$ 2^{23} $\textstyle n_{i-1}$ n_{i-1}

$a^{i+1}_3$ a^{i+1}_3 $x^{3^2}$ x^{3^2}

$2^{a_i}$ 2^{a_i} $2^a_i$ 2^a_i

Notice that we can apply both a subscript and a superscript at the same time. For subscripts or superscripts with more than one character, you must surround with curly braces. For example, x^10 produces $x^10$, while x^{10} produces $x^{10}$