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PractSet2b

# Make a rough sketch of an antiderivative given that

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Unformatted text preview: ²b ³ j F ~ ² b ³ ²b ³ b G ~  )LQG WKH PRVW JHQHUDO DQWLGHULYDWLYH RI %²%b ³ b  ²b ³ bÄb H  ~ . ² b ³ ²b ³ D % b % b % b * E % b % b % b * F % ²% b ³ b * G % b % b % b * H  % b % b  % b *  Find  ²³ if  Z ²%³ ~ D b b c %  E c b %, ² ³ ~ . b ln  )ind  ²j ³ if  Z ²%³ ~ j D  b E  F  Find  ² ³ if  Z ²%³ ~ D  b ln E  F G  b H  G c H  c b , ² ³ ~ b ln F b ln  ¦B F  G j% b% % G b ln H b ln  67  lim E b Á ² ³ ~ . c%  Evaluate the following limitÚ D c ln ~ H  ²%³ is shown in the figure. Make a rough sketch of an antiderivative - , given that - ² ³ ~ c .  The graph of a function  (VWLPDWH WKH DUHD XQGHU WKH JUDSK RI UHFWDQJOHV DQG OHIW HQGSRLQWV D E F G  8VH WKH PLGSRLQW UXOH ZLWK  ~ D E F  ²%³ ~ c % IURP % ~ c WR % ~ H WR DSSUR[LPDWH G H ²% b ³ % XVLQJ WKUHH  The graph of a function  is shown in the figure below. Make a rough sketch of an antiderivative - , given that - ² ³ ~ .  (YDOXDWH OLP > ¦B D  c   ~ ² b °³ 2  3? E\ ILUVW H[SUHVVLQJ WKH JLYHQ OLPLW DV D GHILQLWH LQWHJUDO E OQ  c OQ  G  c  F  c H  °  8VLQJ WKH GHILQLWLRQ RI LQWHJUDO VLQ % % LV HTXDO WR D OLP  ¦B ~  G OLP ¦B ~ VLQ2  3  VLQ2 b E OLP 3   ¦B ~  H OLP ¦B ~  (VWLPDWH WKH DUHD XQGHU WKH JUDSK RI  ²%³ ~  VLQ2 b  3  VLQ2 b F OLP  ¦B ~ VLQ2  3  3  c j% IURP % ~ WR % ~ DQG PLGSRLQWV D À ² c jÀ ³ b À ² c j À ³ b À ² c j À ³ b À ² c j À ³ b À ² c j À ³ E À ² c jÀ ³ b À ² c j À ³ b À ² c j À ³...
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