Question

Int of sin (x^2)/x

Answer 1

\[\int\limits_{}^{}\frac{\sin(x^2)}{x} dx\]?

Answer 2

can we write the integrand as a series then integrate ?

Answer 3

u = 2x, du = dx, 1/2 u = x

will substitution work?

Answer 4

Yup that looks right.

Answer 5

pfft, 2x ... x^2

Answer 6

I tried substitution and it didn't work.

Answer 7

u = x^2, du = 2x dx

this might not be easily subbed

Answer 8

is this more advanced integration, or are they trying to demonstrate that not every function has a ... easy solution for antidifferentation.

Answer 9

Can't be done with simple substitution since the x is in the denominator. There is no simple solution to this integral. A series expansion would probably be easiest to approximate the solution.