can someone please help me with these equations of definite integrals in integration?

∫ x/sqrt 2x - 1 dx from 5 to 1

∫ e^3/x//x^2 dx from 3 to 1 -- this is e to the power 3 over x, all over x squared. I hope that makes sense.

Question

can someone please help me with these equations of definite integrals in integration?

∫ x/sqrt 2x - 1 dx from 5 to 1

∫ e^3/x//x^2 dx from 3 to 1 -- this is e to the power 3 over x, all over x squared. I hope that makes sense.

anonymous · Answer

$$\int\limits_{3}^{1} (e^3/x)/x^2 $$ this what you mean?

anonymous · Answer

kinda of...  but its e to the power 3/x.

anonymous · Answer

ln(2)/4 - ln(18)/4 - 2/9

anonymous · Answer

$$\int\limits_{5}^{1}x/(2x-1)^2$$
=$$\ln(2)/4 - \ln(18)/4 - 2/9 $$

anonymous · Answer

regarding e^(3/x)/x^2
the derivative of 3/x is is -3/x^2
so let use substitution
u=3/x
du= -3/x^2
now we can do integral e^(u)*du take out the -1/3 ofcouse.
so you should have
$$-1/3\int\limits_{?}^{?} e^udu $$ 
that should push you thou

now sure about my answer:D but hope i helped

anonymous · Answer

thank you... any help is appreciated!! :)

anonymous · Answer

lol