Question

find the value of..

Answer 1

value of what?

Answer 2

\[I=\int\limits_{0}^{\pi/6} \sin(6t) dt\]

Answer 3

you should try this website and it might help you!

http://www.wolframalpha.com/

Answer 4

Is the 6 what's giving you some confusion?

Answer 5

yup lol

Answer 6

So there is this neat rule... (that I made up)
called the Linear Coefficient Rule:

If \(\large\rm \quad\frac{d}{dx}F(x)=f(x)\)

Then \(\large\rm \int f(ax)dx=\frac1a F(ax)+c\)

Answer 7

Remember your chain rule with derivatives?\[\large\rm \frac{d}{dx}e^{2x}\]You learn that an extra 2 comes down as multiplication.

Answer 8

hmm i think ik what you're saying :S

Answer 9

\[\large\rm \frac{d}{dx}e^{2x}=2e^{2x}\]So what happens if you integrate?\[\large\rm \int\limits 2e^{2x}dx=e^{2x}\]HMMMM but what happened to the 2?? :O
Think about your basic algebra steps, what actually happened to it?

Answer 10

\[\large\rm \int\limits\limits 2e^{2x}dx=\frac22e^{2x}\]You divide the 2 out, ya?

Answer 11

Sorry I have to go.
Hope that gets you on the right track though.
If you have a linear x, you just end up dividing by the coefficient.\[\large\rm \int\limits \cos(3x)dx=\frac13\sin(3x)+c\]

Answer 12

oh ok then, thank you!