The Fundamental Theorem of Calculus and Definite I
- Mathematics
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- Shared June 2025
Practice definite integrals and apply the Fundamental Theorem of Calculus in this Skill Builder for Topic 6.7. Solve problems, cross off answers, and reinforce key AP Calculus concepts effectively
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Skill Builder: Topic 6.7 - The Fundamental Theorem of Calculus and Definite Integrals (Big 10) Complete the tec problems below. Once you complete each problem, cross off the appropriate value in the box below according to the intmctions. If done correctly, you mil have all 10 numbers crossed off with no repeats. Express all fractional answers as improper fractions. ______________________________________ ~6 1 2 3 4 5 6 7 8 F Problem Instructions 1. p x A = -fl) 1 3 «V 3 a n Cross off the value of the numerator of vour answer. Cross off 3. 2. j - ( x - 5 ) A = Cross off the value that is equivalent to the sum of die positive digits of the numerator of your answer. 4 + 5 = 9 Cross off 9. 1 U ) ; -5U) 9 9 9 54 43 ' - : 2 3. Given gfr)- f 1 ' dt, rind g<2). J 1 . r r ' * ; g-(2). ‘ L 1 + x 1+2 17 Cross off the units (ones) digit in denominator of your answer. Cross off 7. 4. |‘.V-—r iflfr 1 , I 3 1 - 1 . 1 - 1 = 2 J ■ ( 1 1<’ 2) 1 1 i Cross off the absolute value of your answer. Cross off 2. ■ K > 9 ,1 V* V* 5 I 2 i 5 7 = 2 x : : 4x : \ . 9 4 9 3 1 3 ’ 1 ‘ 27- 12 ; ,.4 18 12 - 4 dx l 0 2 30 2 28 3 3 3 3 Cross off the units (ones) digit in numerator of your answer. Cross off S.
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