Evaluate the Following Integrals:
(A) $\int x ^ { 3 } \cos \left( x ^ { 4 } + 1 \right) d x$

question 88

Essay

Evaluate the following integrals:
(a) $\int x ^ { 3 } \cos \left( x ^ { 4 } + 1 \right) d x$ (b) $\int \frac { \cos ( \sqrt { x } ) } { \sqrt { x } } d x$ (c) $\int \frac { \cos ( 1 / x ) } { x ^ { 2 } } d x$ (d) $\int \frac { \cos ( \arctan x ) } { 1 + x ^ { 2 } } d x$

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Definitions:

Indifference Curve

A graphical representation showing combinations of goods or services among which a consumer is indifferent, signifying equal levels of utility.

Slope

The measure of the steepness or incline of a line, defined mathematically as the ratio of the vertical change to the horizontal change between two points on the line.

Corn Chips

A food product made from cornmeal, served as a snack or accompaniment, and can be relevant in discussions on consumer goods, manufacturing, and agricultural economics.

French Fries

Deep-fried potato strips, known for their crispy texture and often served as a side dish or snack, popularized in American and European cuisines.