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9 9 1 1 5 5 6 6 7 7 + 5 5 + 7 7 2 2 3 3 8 8 7 7 6 6 5 5 3 3 11 + 44 1 1 1 1 3-2+1=? Advanced Placement Calculus BC Project Created by Tony Wen(Cheng-cheng Wen) Topic : Integration Date : December 01, 2007 Teacher: Ms. DelaCruz

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1. k now the derivative of trigonometry and others 2. A nd knowing how to do the substitution 3. R emember to put a C at the end of your answer (This is the Most IMPORTANT) because if you dont put a c in the answer then

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Find the answer to the following: Step 1: you separate the whole integral to different part. Step 2: you add the powers back and divide the power. Step 3:Now you simplify the whole thing and you will get the answer.

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Find the answer to the following: ***Be careful when you take the anti-derivative of the trigonometry ***

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Find the answer to the following: Step 1:to do this question you have to do the substitution first. Step 2:Now take the derivative of u. Step 3: substitute du into the equation. Step 4: Solve. Step 5: substitute u back to the answer.

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EXAMPLE 1 Solve a two-step equation Solve + 5 = 11. x 2 Write original equation. + 5 = x 2 11 + 5 – 5 = x 2 11 – 5 Subtract 5 from each side. = x 2 6 Simplify.

EXAMPLE 1 Solve a two-step equation Solve + 5 = 11. x 2 Write original equation. + 5 = x 2 11 + 5 – 5 = x 2 11 – 5 Subtract 5 from each side. = x 2 6 Simplify.

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