Find the Area of the Region Bounded by the Given $x$

question 140

Short Answer

Find the area of the region bounded by the given curves (a) using integration with respect to $x$ and (b) using integration with respect to $y$ .
$$y = 2 x ^ { 3 } , y = 5 x + 6 , x = 0$$

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Definitions:

Compounded Quarterly

The method of applying interest to the principal amount on a quarterly basis, considering the accumulated interest from previous quarters.

Interest

The charge for borrowing money or the amount earned on deposited funds, typically expressed as a percentage of the principal amount.

Compounded Semiannually

Interest calculation method where the interest rate is applied twice a year, resulting in interest on interest being added to the principal.

Monthly Compounded

Monthly Compounded refers to the process of applying interest to an initial sum and its previously accumulated interest at monthly intervals.