MAT 1.pdf - Preston Vanderpan Assignment hw1 due at 10:59pm...

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Preston Vanderpan MAT21B-Schultens-Fall-2018 Assignment hw1 due 10/03/2018 at 10:59pm PDT 1. Find an antiderivative P of p ( t ) = 1 3 t 2 . P ( t ) = 6. Estimate the area under the graph of f ( x ) = x sin ( x ) from x = 0 to x = π / 2 by computing lower and upper sums, using the partition { 0 , π / 6 , π / 4 , π / 3 , π / 2 } .
2. Find an antiderivative P of p ( s ) = 2sin ( 2 s ) . 3. Find an antiderivative F of Lower Sum = Upper Sum =
f ( x ) = 7 x 2 + 4 x - 6 . F ( x ) = from x = - 1 to x = 5, first using an upper sum with 6 rectangles, and then improving your estimate using 12 rectangles. 6 Rectangles = 12 Rectangles =
4. Find an antiderivative F of f ( x ) = 7 x 4 - 5 x x 3 . (b) Repeat part (a) using lower sums.
5. Find an antiderivative H of
h ( u ) = 3 e u + 4sec 2 u .

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