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APMA 1110 -
Homework+6+-+Trigonometric+Substitution
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Homework 6 – Trigonometric Substitution For problems 1‐7, evaluate the integrals without referring to tables or formulas. 1) 216xdx 2) 122021xdxx 3) 216dxxx 4) 324dzzz 5) 2413dxxx Hint: Complete the square first. 6) 1secxdx 7) 23221xdxdxx 8) Find the average height of a point on the semicircle, 21yx, for 11x . 9) A charged wire creates an electric field at a point P located at a distance D from the wire. The component Eof the field perpendicular to the wire (in N/C) is 213222xxkDEdxxD Where λ is the charge density (in C/m), 9228.99 10kNmC and 1x and 2xare as in the figure. Suppose that 4610 Cm , and D = 3m. Find Eif 115xm
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