Integral Example - # 6

[Jason76]

Integral evaluated at top 1 and bottom 0

\(\displaystyle \int(3 + \dfrac{1}{4}x^{4} - \dfrac{4}{5}x^{9}) dx\)

\(\displaystyle \rightarrow 3x + (\dfrac{1}{4})\dfrac{x^{5}}{5} - (\dfrac{4}{5})\dfrac{x^{10}}{10}\)

\(\displaystyle \rightarrow 3x + \dfrac{x^{5}}{20} -\dfrac{4x^{10}}{50}\)

\(\displaystyle [[3(1) + \dfrac{(1)^{5}}{20} - \dfrac{4(1)^{10}}{50}] - [3(0) + \dfrac{(0)^{5}}{20} - \dfrac{4(0)^{10}}{50}] \)

\(\displaystyle [[3 + \dfrac{1}{20} - \dfrac{4}{50}] - [0] \)

\(\displaystyle [[\dfrac{300}{100} + \dfrac{5}{100} - \dfrac{8}{100}] - [0] = \dfrac{297}{100} \) - This answer isn't right.

 

[stapel]

\(\displaystyle \displaystyle{\int_0^1\, \left(3\, +\, \frac{x^4}{4}\, -\, \frac{4x^9}{5}\right)\, dx}\)

....

\(\displaystyle \left[\dfrac{300}{100} + \dfrac{5}{100} - \dfrac{8}{100}\right]\, -\, \left[0\right]\, =\, \dfrac{297}{100} \) - This answer isn't right.

On what basis have you concluded that this solution value is incorrect?

 

[Deleted member 4993]

Integral evaluated at top 1 and bottom 0

\(\displaystyle \int(3 + \dfrac{1}{4}x^{4} - \dfrac{4}{5}x^{9}) dx\)

\(\displaystyle \rightarrow 3x + (\dfrac{1}{4})\dfrac{x^{5}}{5} - (\dfrac{4}{5})\dfrac{x^{10}}{10}\)

\(\displaystyle \rightarrow 3x + \dfrac{x^{5}}{20} -\dfrac{4x^{10}}{50}\)

\(\displaystyle [[3(1) + \dfrac{(1)^{5}}{20} - \dfrac{4(1)^{10}}{50}] - [3(0) + \dfrac{(0)^{5}}{20} - \dfrac{4(0)^{10}}{50}] \)

\(\displaystyle [[3 + \dfrac{1}{20} - \dfrac{4}{50}] - [0] \)

\(\displaystyle [[\dfrac{300}{100} + \dfrac{5}{100} - \dfrac{8}{100}] - [0] = \dfrac{297}{100} \) - This answer isn't right.

did you try 2.97 as answer?

 

[Jason76]

did you try 2.97 as answer?

2.97 is the answer, thanks.