Chapter 5 | Integration
615
436. [T] Approximate the points at which the graphs of f ( x ) =2 x 2 −1 and g ( x ) = ⎛ ⎝ 1+4 x 2 ⎞ ⎠ −3/2 intersect to four decimal places, and approximate the area between their graphs to three decimal places. 437. 47. [T] Approximate the points at which the graphs of f ( x ) = x 2 −1 and g ( x ) = ⎛ ⎝ x 2 +1 intersect to four decimal places, and approximate the area between their graphs to three decimal places. 438. Use the following graph to prove that ⌠ ⌡ 0 x 1− t 2 dt = 1 2 x 1− x 2 + 1 2 sin −1 x . ⎞ ⎠ 1 2
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