![\bf \displaystyle \int\limits_{0}^{28}\ \cfrac{1}{\sqrt[3]{(8+2x)^2}}\cdot dx\impliedby \textit{now, let's do some substitution}\\\\ -------------------------------\\\\ u=8+2x\implies \cfrac{du}{dx}=2\implies \cfrac{du}{2}=dx\\\\ -------------------------------\\\\](/tpl/images/0434/6682/cbf79.png)
![\bf \displaystyle \int\limits_{0}^{28}\ \cfrac{1}{\sqrt[3]{u^2}}\cdot \cfrac{du}{2}\implies \cfrac{1}{2}\int\limits_{0}^{28}\ u^{-\frac{2}{3}}\cdot du\impliedby \begin{array}{llll} \textit{now let's change the bounds}\\ \textit{by using } u(x) \end{array}\\\\ -------------------------------\\\\ u(0)=8+2(0)\implies u(0)=8 \\\\\\ u(28)=8+2(28)\implies u(28)=64](/tpl/images/0434/6682/b6b52.png)
![\bf \\\\ -------------------------------\\\\ \displaystyle \cfrac{1}{2}\int\limits_{8}^{64}\ u^{-\frac{2}{3}}\cdot du\implies \cfrac{1}{2}\cdot \cfrac{u^{\frac{1}{3}}}{\frac{1}{3}}\implies \left. \cfrac{3\sqrt[3]{u}}{2} \right]_8^{64} \\\\\\ \left[ \cfrac{3\sqrt[3]{(2^2)^3}}{2} \right]-\left[ \cfrac{3\sqrt[3]{2^3}}{2} \right]\implies \cfrac{12}{2}-\cfrac{6}{2}\implies 6-3\implies 3](/tpl/images/0434/6682/59358.png)
For number 6, evaluate the definite integral.
...
Mathematics, 27.12.2019 11:31 Gb728888
For number 6, evaluate the definite integral.
Answers: 1
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 17:40, zitterkoph
Which basic geometric term has no width, no length, and no thickness? line b. point c. angle d. plane
Answers: 2
Mathematics, 21.06.2019 18:00, Megcuttie101
What is the measure of the smallest angle in the diagram? 15 29 32 45
Answers: 2
Mathematics, 21.06.2019 20:30, makailaaa2
Ateam has p points. p = 3w + d w = wins d = draws a) a football team has 5 wins and 3 draws. how many points does the team have?
Answers: 1
You know the right answer?
Questions in other subjects:
Mathematics, 12.12.2020 16:30
Mathematics, 12.12.2020 16:30
Mathematics, 12.12.2020 16:30
English, 12.12.2020 16:30
History, 12.12.2020 16:30
