Integral of cos(ax+b) dx
The solution
The answer (Indefinite)
[src]
/ //sin(a*x + b) \
| ||------------ for a != 0|
| cos(a*x + b) dx = C + |< a |
| || |
/ \\ x*cos(b) otherwise /
asin(ax+b)
/sin(a + b) sin(b)
|---------- - ------ for And(a > -oo, a < oo, a != 0)
< a a
|
\ cos(b) otherwise
asin(b+a)−asinb
=
/sin(a + b) sin(b)
|---------- - ------ for And(a > -oo, a < oo, a != 0)
< a a
|
\ cos(b) otherwise
{−asin(b)+asin(a+b)cos(b)fora>−∞∧a<∞∧a=0otherwise
Use the examples entering the upper and lower limits of integration.