11.03 Approximate areas under graphs using trapezoidal rule
Interactive practice questions
The function $y=3\ln x$y=3lnx has been graphed.
Solve for the $x$x-intercept of the curve.
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.
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.
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].
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.