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Second Derivative Test for Local Maximum

20.Graph of x...

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20.Graph of x+integral value of x

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Q. Sketch the graph y = | x + 1 |. Evaluate

\int_{- 4}^{2} |x + 1| d x

. What does the value of this integral represent on the graph?

Q. Sketch the graph of

f (x) = {\begin{matrix} | x - 1 | + 2, & x \leq 2 x^{2} - 2, & x > 2 \end{matrix}

\int_{0}^{4} f (x) d x

. What does the value of this integral represent on the graph?

Q. Sketch the graph

y = | x - 1 |

\int_{- 2}^{4} | x - 1 | d x

. What does this value of the integral represent on the graph?

Q. Sketch the graph y = | x − 5 |. Evaluate

\int_{0}^{1} |x - 5| d x

. What does this value of the integral represent on the graph.

x^{20} < 32^{18}

, then the greatest possible integral value of 'x' is

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