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X) dx F(b) F(a) a I NTEGRATION BY PARTS u dv uv v du T RIGONOMETRIC S UBSTITUTION (a 0) a2 x2 requires x a sin . Then a2 x2 a cos , where /2 /2. a2 + x2 requires x a tan . Then a2 + x2 a sec , where /2 /2. x2 a2 requires x a sec . Then x2 a2 a tan . If x a, use x2 a2 +a tan , where 0 /2. If x a, use x2 a2 a tan , where /2 .

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