**Problem : **Evaluate: sin(*x*)*dx*.

-cos(x)_{0}^{Π}=-(-1)-(-1) = 2 |

**Problem : **Evaluate: (*x*^{2}-5*x*)*dx*.

(x^{3} - x^{2})_{0}^{1}=( - ) - (0) = |

**Problem : **Evaluate: (4*x*^{2}+1)*dx*.

x^{3} + x_{-1}^{0}=(0) - ( -1) = |

**Problem : **
What is the relationship between
*f* (*x*)*dx* and *f* (*x*)*dx*?

f (x)dx | = F(b) - F(a), and | ||

f (x)dx | = F(a) - F(b), | ||

f (x)dx | = - f (x)dx |

**Problem : **
For the function graphed below, find

f (x)dx | |||

f (x)dx | |||

f (x)dx |

Recall the interpretation of the definite integral as the signed area under the curve. Portions below the graph count as "negative area" even though such a thing could not exist geometrically.

f (x)dx | = 3 - 1 + 2 = 4 | ||

f (x)dx | = 1 | ||

f (x)dx | = 3 - 1 + 2 - 5 = - 1 |

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