Question

Integral Calculus Help! :(
(Techniques of Integration)

Answer 1

Which technique?

Answer 2

All techniques. :(

Answer 3

can you integrate a polynomial ?

Answer 4

yes. :)

Answer 5

can you perform u-substitution ?

Answer 6

what kind of substitution?

Answer 7

something like
\[∫(2-x)^3\,\mathrm dx,\qquad\text{let }u=(2-x)\\\qquad\qquad\qquad\qquad\quad\mathrm du=-\mathrm dx\\
\vdots\]

Answer 8

\[\vdots\\
=-\int u^3\,\mathrm du\\
=-u^4/4+C\\
=-(2-x)^4/4+C\]

Answer 9

ahh. yes. :)
sorry for the late reply. :(

Answer 10

so you can integrate with the aid of a substitution ?

Answer 11

What about integration by parts?
\[\int u\,\mathrm dv=uv-\int v\,\mathrm du\]

Answer 12

a bit. :(

Answer 13

try an example

\[\int xe^{x/2}\,\mathrm dx\]

Answer 14

okay.. wait, I'll solve it.

Answer 15

the answer is: