Review - Definite Integrals (end of Chapter 5)
Review - Definite Integrals (end of Chapter 5)
Review - Definite Integrals (end of Chapter 5)
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Calculus <strong>Review</strong> Worksheet<br />
(6) Find '( x)<br />
F if<br />
F (x)<br />
=<br />
1<br />
∫sec<br />
( 2x)<br />
t<br />
2<br />
dt<br />
−1<br />
(7) Find the total area bound by each <strong>of</strong> the following curves please.<br />
(a)<br />
2<br />
y = x and y = x + 2<br />
(b)<br />
y<br />
2<br />
2 −<br />
= 6x − x and y = x 2x<br />
(c)<br />
2<br />
x = y and<br />
x<br />
=<br />
3<br />
−<br />
2<br />
2y<br />
(d) y = sin(x) , and y = sin(2x) if<br />
0<br />
≤<br />
x<br />
≤<br />
π<br />
2<br />
(e) y tan ( x)<br />
= , y = 0 , and<br />
x<br />
=<br />
π<br />
4<br />
(f)<br />
y<br />
3<br />
2<br />
= x + x − 2x , and y = − x + x + 6x<br />
3<br />
2<br />
−x<br />
(g) Calculator Problem y = 2 , and y = 3x 2 (Correct to 5 decimal places)<br />
2 −
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