What is the integral from x<0 to 2 of t ?

The integral from x<0 to 2 of t is 2-((x<0)^2)/2

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integral from x<0 to 2 of t

\int_{x < 0}^{2} t d t

2 - \frac{( x < 0 ) ^{2}}{2}

Solution steps

\int_{x < 0}^{2} t d t

Apply the Power Rule

: [\frac{t ^{2}}{2}]_{x < 0}^{2}

= [\frac{t ^{2}}{2}]_{x < 0}^{2}

Compute the boundaries:

2 - \frac{( x < 0 ) ^{2}}{2}

= 2 - \frac{( x < 0 ) ^{2}}{2}

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What is the integral from x<0 to 2 of t ?
The integral from x<0 to 2 of t is 2-((x<0)^2)/2