Preliminary steps The following
63.
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- 2x3+2x² – 95x+40 -dx x3+x2 – 20x Evaluate Then, write the coefficient of the integral: Blank 1X + Blank 2lnx + Blank 3 In|x+ 5| + Blank 4ln|x – 4| + C Note: 1. Please write fractions this way 1/3 or -1/3 (negative fraction). 2. Avoid mixed fractions, instead convert them to an improper fraction. 3. For common logarithms write this way (examples) log(5) or log(1/2). 4. For natural logarithms write (examples) In(5) or In(2/5).arrow_forwardEvaluate using Integration by Parts. (Use symbolic notation and fractions where needed.) xelx+4 dx =arrow_forward∫0−1x2(4x3+5)3 dx Determine the value of the definite integral given above. Enter your answer as an exact fraction if necessary. Provide your answer below:arrow_forward
- Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate slowly. If V is the volume of such a cube with side length x, find (in mm /mm) when x 4 mm. xp v(4)31 X mm /mm Explain the meaning of V'(4) in the context of this problem. O v(4) represents the volume as the side length reaches 4 mm. O v represents the rate at which the volume is increasing with respect to the side length as V reaches 12 mm3. O v(4) represents the rate at which the volume is increasing as x reaches 12 mm. O v(4) represents the rate at which the volume is increasing with respect to the side length as x reaches 4 mm. O V(4) represents the rate at which the side length is increasing with respect to the volume as x reaches 4 mm. Need Help? Read It 3:52 PM P Type here to search 日 a 10/2/2021 ..arrow_forwardFind ∫-10 −3x(3x2 −2)4 dx. Enter your answer as an exact fraction if necessary.arrow_forward£₂√16-x² dx Which of the following areas is represented by the above integral? (i) The square root of the area between the parabola y = 16 - x² and the x-axis. (ii) The area of one quarter of the circle centered at the origin and with radius 4. (iii) The area of a circle centered at the origin and with radius 4.arrow_forward
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- 4 Evaluate (4x-1/2 – x/2) dx. Enter your answer as an exact fraction if necessary. Provide your answer below:arrow_forwardUse the table of integrals, or a computer or calculator with symbolic integration capabilities, to find the indefinite integral. 19 Vx + 14 Click here to view page 1 of the table of integrals. Click here to view page 2 of the table of integrals. 19 dx = + 14arrow_forwardxp (1 +x) *+1 dx= 3. Evaluate.arrow_forward
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