Evaluate the Line Integral $\int _ { C } x y d x + ( x + y ) d y$

question 190

Short Answer

Evaluate the line integral $\int _ { C } x y d x + ( x + y ) d y$ where $C$ is the curve $x = t ^ { 2 } , y = t ^ { 3 } , 0 \leq t \leq 1$

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Definitions:

Lithium

A medication commonly used to treat and prevent manic episodes in people with bipolar disorder.

Suicidality

The risk or tendency toward having suicidal thoughts, making suicidal plans, or attempting suicide.

Toxic Dose

The amount of a substance that causes harmful effects to an organism, potentially leading to poisoning or death.

Cyclothymic Disorder

Milder but more chronic form of bipolar disorder that consists of alternation between hypomanic episodes and mild depressive episodes over a period of at least 2 years.