Question

1) sin(lnx)dx , from 1 to e

Answer 1

This is your problem?\[\int\limits_{1}^{e}\sin(lnx)dx\]

Answer 2

@Amum

Answer 3

yh

Answer 4

I would recommend using substitution.

Answer 5

Substitute \[u=ln(x) =>du=\frac{1}{x}dx\] Find new bounds, and solve it from there.

Answer 6

for these bullcrap functions all I can think of is IBP

Answer 7

When you make the substitution you get: \[e^usin(u)\] To integrate that you would need to use the formular:\[\int\limits_{ }^{ }\exp (\alpha u)\sin(\beta u)du=\frac{ \exp(\alpha u)(-\beta \cos(\beta u)+\alpha \sin(\beta u)) }{ \alpha^2+\beta^2 }\]

Answer 8

Ok got it, thx