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Integration cos pi fuction help (deg or rad)?
Hi,
can you please help me?
As a HW assignment we needed to integrate:
cos(3x + 4) dx.....with borders from 0 to pi.(3,14)
1st step: substitute 3x+4 with u.
u=3x+4
du/dx= 3
dx= 1/3du
And change borders: u(0)= 3.0 +4= 4
u(pi)= 3.pi+4
So now our function to integrate is:
cos u 1/3du.....with borders from 4 to 3pi+4
=
1/3[sin u]...borders from 4 to 3pi+4
So now comes my problem and question:
I had my calculator on degrees and got: 1/3(0,232-0,07)= 0,05 as answer
However the answer should be:
1/3(0,757--0,757)= 1/3(1,514)=0.504
Which is what you get when putting the calculator on radians
So My question(Finally)
How should you know whether the calculator should be set to radians or degrees
2 Answers
- Anonymous8 years agoFavorite Answer
Rule
integral of cos(ax+b)dx = (1/a)sin(ax+b) + C , with x in radians
- Rita the dogLv 78 years ago
It should always be radians. In fact, more correctly, in the expression sin(x) the value of x is any real number. If you insist in thinking of that number as an angle then x is in radians.