Can someone help me with integrals?

Question

nathanjhw · Answer

attachment

nathanjhw · Answer

attachment

nathanjhw · Answer

Or: None of these. This one can't be done using the method of substitution.

nathanjhw · Answer

@jim_thompson5910

nathanjhw · Answer

@hartnn

hartnn · Answer

did you try the substitution 
$\Large u = 2x^{-3/2}$
can't be done or you're not allowed to use substution?

nathanjhw · Answer

I think it can't be done using the method of substitution.

nathanjhw · Answer

http://www.wolframalpha.com/input/?i=integral+x%5E%28-1%2F2%29+sin%28%282x%29%5E%28-3%2F2%29%29dx

nathanjhw · Answer

@hartnn

hartnn · Answer

since we have choices,
can you try differentiating all of them and see which one gives you the function in the question?

hartnn · Answer

could just be a trick question to make the student think that one of the choices could be the answer where actually the answer is none

nathanjhw · Answer

When I differentiated the choices, none of them ended up being the function in the question. I believe "None of these. This one can't be done using the method of substitution." basically means none of the above.

nathanjhw · Answer

So do you think "None of these. This one can't be done using the method of substitution." is the answer?

hartnn · Answer

yes,
uv rule could be a possibility 
but that won't lead you to any of the choices given :)

nathanjhw · Answer

Alright thank you!

hartnn · Answer

welcome ^_^