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- Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y₁ = x² + 2x + 5 = 2x + 14 Y₂ = Y ~ 20- 15- 10- dx y2 2 yl X 4arrow_forwardFind the area between y = x - 2 and y = x“ – 4. Round your limits of integration and answer to 2 decimal places. 14+ 12 10- 구 -4 2 -5 -4 -3 -2 -2 The area between the curves is square units. Add Work Check Answerarrow_forwardOriginal Integral Rewrite Integrate Simplify 9. dx 9. dx 9. + C (4x)5 1024 1024arrow_forward
- Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas of the labeled regions are АЗ 10 15 A2 A4 A1= 6, A2=4, A3=2 and A4=2 7 10 V = | f(x)dx (figure is NOT to scale) V = 3.arrow_forwardDetermine the x-coordinate of the centroid of the shaded area by integration. 29 y | Answer: x i 26 = 33 ----xarrow_forwardy=f(x) A1 АЗ 3 15 A4 A2 10 (figure is NOT to scale) Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the labeled regions are Al= 6, A2=3, A3=1 and A4=2 V = |f(x)| dx V = Enter your answer as a whole numberarrow_forward
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- Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas of the labeled regions are АЗ 3 A2 A4 A1= 7, A2=3, A3=2 and A4=1 7 10 10 V = (2 + f(x)) dx (figure is NOT to scale) 3 V = Enter your answer as a whole numberarrow_forwardEvaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas of the labeled regions are АЗ 15 A2 A1= 5, A2=D4, A3=D2 and A4=1 7 A4 10 V = |f(x)| dx (figure is NOT to scale) 0. %3Darrow_forwardy=f(x) A1 АЗ 15 A2 7 A4 10 (figure is NOT to scale) Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the labeled regions are A1= 6, A2=3, A3=2 and A4=1 V = 2f(x) dx V = Enter your answer as a whole numberarrow_forward
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