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A2 - R dx √ x 2-8 x 25 dx 3 Evaluate the following...

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Math 128: Assignment 2 due Wed, Sep 28 by 4:30 pm Koray Karabina ([email protected]) 1. Evaluate the following integrals: (a) R sin 4 x cos 3 x dx (b) R tan 5 x dx (c) R tan x + tan 4 x dx (d) R π/ 2 0 sin 2 2 θ dθ (e) R cos πx cos 4 πx dx Hint: cos A cos B = 1 2 (cos ( A - B ) + cos ( A + B )) (f) R cos x cos 3 (sin x ) dx (g) R cot 3 x sin 4 x dx 2. Evaluate the following integrals using trigonometric substitution: (a) R 1 0 x x 2 + 1 dx (b) R 3 x 16 -
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Unformatted text preview: R dx √ x 2-8 x +25 dx 3. Evaluate the following integrals using partial fractions: (a) R 1 x-1 x 2 +3 x +2 dx (b) R 1 x 2 + x +1 ( x 2 +1) 2 dx (c) R 2 x 4-13 x 3 +26 x 2-6 x-5 (2 x +1)( x-2) 2 dx Hint: First perform a long division and then apply partial fractions technique....
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