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7.04 Approximate areas of integration

Interactive practice questions

The function $y=3\ln x$y=3lnx has been graphed.

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a

Solve for the $x$x-intercept of the curve.

b

Use two applications of the trapezoidal rule to approximate the area bound by the curve, the $x$x-axis and and $x=6$x=6.

Give your answer to one decimal place.

Easy
6min

Approximate $\int_0^88xdx$808xdx by using four rectangles of equal width whose heights are the values of the function at the midpoint of each rectangle.

Easy
3min

The interval $\left[0,8\right]$[0,8] is partitioned into four sub-intervals $\left[0,2\right]$[0,2], $\left[2,4\right]$[2,4], $\left[4,6\right]$[4,6], and $\left[6,8\right]$[6,8].

Easy
3min

Approximate $\int_1^5\frac{1}{x}dx$511xdx by using four rectangles of equal width whose heights are the values of the function at the right endpoint of each rectangle.

Easy
3min
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Outcomes

MA12-3

applies calculus techniques to model and solve problems

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