Calc1

posted by TayB

Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area.
y = sec^2 x, 0 ≤ x ≤ π/4

  1. Jai

    To get the area, we use integration. From the graph, we can draw vertical strips that run from 0 to π/4.
    ∫ y dx
    = ∫ sec^2 (x) dx
    = tan x | from 0 to π/4
    = tan (π/4) - tan (0)
    = 1 - 0
    = 1

  2. TayB

    Thank you Jai

Respond to this Question

First Name

Your Answer

Similar Questions

  1. calculus

    Estimate the area of the region under the curve y = ln(x) for 1 ≤ x ≤ 4. Use the left hand rule with n = 50. Give your answer to four decimal places.
  2. Calculus

    Estimate the area of the region under the curve y = ln(x) for 1 ≤ x ≤ 4. Use the left hand rule with n = 50. Give your answer to four decimal places.
  3. Calculus

    The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. A = lim n → ∞ [f(x1)Δx + f(x2)Δx + . . . + f(xn)Δx] Use this …
  4. cal

    Find the area of the region enclosed by the curve y=xsinx and the x-axis for 7π ≤x ≤8π .
  5. PRE - CALCULUS

    Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations. x = 6 cos t, y = 6 sin t; 0 ≤ t ≤ 2π A. x2 - y2 = 6; -6 ≤ x ≤ 6 B. x2 - y2 = 36; -6 ≤ …
  6. Calc 1

    Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = 6 sin x, 0 ≤ x ≤ π
  7. Calc 1

    Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = 5th root(x), 0 ≤ x ≤ 32
  8. Calc 1

    Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = x^−3, 1 ≤ x ≤ 5
  9. Calculus 1

    Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = cube root(x) , 0 ≤ x ≤ 27
  10. Calculus 1

    Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = x^−3, 2 ≤ x ≤ 5

More Similar Questions