Answer: last one
Step-by-step explanation:
Answer:
I don't know where those answers are coming from, but I got:
23s - 145
Answer:
I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)
Step-by-step explanation:
for
I= ∫x^n . e^ax dx
then using integration by parts we can define u and dv such that
I= ∫(x^n) . (e^ax dx) = ∫u . dv
where
u= x^n → du = n*x^(n-1) dx
dv= e^ax dx→ v = ∫e^ax dx = (e^ax) /a ( for a≠0 .when a=0 , v=∫1 dx= x)
then we know that
I= ∫u . dv = u*v - ∫v . du + C
( since d(u*v) = u*dv + v*du → u*dv = d(u*v) - v*du → ∫u*dv = ∫(d(u*v) - v*du) =
(u*v) - ∫v*du + C )
therefore
I= ∫u . dv = u*v - ∫v . du + C = (x^n)*(e^ax) /a - ∫ (e^ax) /a * n*x^(n-1) dx +C = = (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C
I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)
Answer:
sin(T)
cos(C)
Step-by-step explanation:
sine goes up or down for angles in the circle.
cosine goes left or right for angles in the circle.
consider a circle with is center at T, and it goes through C (so, the radius is 25 = TC).
then 7 = sin(T)×25
24 = cos(T)×25
so, sin(T) = 7/25
then, sin(T) = cos(90-T)
and the angle at C = 90-T.
therefore, cos(C)=sin(T)=7/25
tan(x) = sin(x)/cos(x)
and that would lead here always to a 7/24 or 24/7 ratio.
so, no tan function is right.
