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I NTERGRATION AND U-S UBSTITUTION 4-A
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Basic Integration Rules Remember derivatives and integrals are inverse operations Hence: antiderivative The definite integral can be thought of as the area between a and b and between the curve of f(x) and the x-axis
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U-substitution Integral form of the chain rule (function times its derivative) Where u is a function of x
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1) Find
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x formu form (Reverse Chain Rule) Power Rule: Trig Rules: Integration by Recognition
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2) Find
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3) Find
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4) Find
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Definite Integral Substitution Perform a complete change of variables Including the limits of integration
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5) Find
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6) If 0 < k < π then
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7) find
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8) find
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9) find
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10) Suppose f is a continuous function and
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H OME W ORK U-substitution worksheet
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