Question-133556

Question Number 133556 by leena12345 last updated on 22/Feb/21

Commented by leena12345 last updated on 23/Feb/21

h e l p

Answered by bemath last updated on 23/Feb/21

V = π \underset{4}{\int^{5}} {(- x^{2} + 9 x - 20)}^{2} dx

V = π \underset{4}{\int^{5}} (x^{4} + {81 x}^{2} + 400 - {18 x}^{3} + {40 x}^{2} - 360 x) dx

= π {[\frac{x^{5}}{5} + {27 x}^{3} + 400 x - \frac{9}{2} x^{4} + \frac{40}{3} x^{3} - {180 x}^{2}]}_{4}^{5}

= \frac{π}{30}

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