Help?????????
$$\int\limits_{0}^{2}\sqrt{2x}(\sqrt{x}+\sqrt{5})dx$$

Question

Help?????????
$$\int\limits_{0}^{2}\sqrt{2x}(\sqrt{x}+\sqrt{5})dx$$

zepdrix · Answer

Distributing sqrt(2x) gives us,$$\Large\rm \int\limits_0^2 \sqrt2 ~x+\sqrt{10}~x^{1/2}~~dx$$Then just integrate each term, applying the power rule for integration.

anonymous · Answer

first term becomes after integration
$$\frac{ 1 }{ \sqrt{2} } x ^{2} + Constant$$

do u know how to work out the second term?

anonymous · Answer

this might help you http://www.mathsisfun.com/calculus/integration-definite.html

anonymous · Answer

I'm not getting

anonymous · Answer

the given answers don't belong to this problem, may be they made a typo somewhere in the actual question???
ask for a second opinion please.

anonymous · Answer

@shubhamsrg help???

shubhamsrg · Answer

Yes, the answers don't match up with the questions.

anonymous · Answer

thanks @shubhamsrg  :)

ganeshie8 · Answer

yeah the `c` in the options makes no sense as this is a definite integral

anonymous · Answer

thanks @ganeshie8

ganeshie8 · Answer

for that matter, even the variable also makes no sense..

ganeshie8 · Answer

it should evaluate to some number..

anonymous · Answer

yes yo are right
I get it evaluating to 5.978

anonymous · Answer

@Fábio  are you sure you've got the right question/answers  above?

anonymous · Answer

Are online issues that I need to resolve this issue but could not get any results ... so I ask for help ..

anonymous · Answer

something is wrong with your online system then ;)

anonymous · Answer

got to go, see you later

anonymous · Answer

Ok, I will ask staff to review the issue. thank you