calculus-2-assignment-3.pdf - Jacobs University Bremen Prof...

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Jacobs University Bremen Fall Semester 2017 Prof. Dr. T. Preusser Calculus II Assignment Sheet 3. Due: Nov 15, 2017 Problem 7 [10 Points]: Use subsitution to compute the following integrals a) Z 2 1 t + 3 t 2 p t 2 + 2 t 3 dt , b) Z ax + b ( ax 2 + 2 bx + c ) 3 / 7 dx for some a, b, c 2 R . Problem 8 [10 Points]: Use integration by parts (and substitution where necessary) to compute the following anti-derivatives a) Z x 7 p 5 + 3 x 4 dx, b) Z x p x + 3 dx . Problem 9 [10 Points]: a) Find the area that is below f ( x ) = - x 2 + 4 x + 3 and above g ( x ) = - x 3 + 7 x 2 - 10 x + 5 in the
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  • Fall '17
  • Tobias Pressuer
  • Jacobs University Bremen

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