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)
Please help :(,,,,,,???,,,,,,
nadya68 [22]
Step-by-step explanation:
The first one (f×g)(x) is asking you what is f of x times g of x. This means you multiply the function. You can multiply by the first term (5x) then the second (3) and combine like terms.
Combine like terms
The second one asks you to divide.
Factor out f(x):
From dividing f(x) /g(x)
To
Cancel like terms since (5x+3) is on top and bottom of fraction.
You get 3x+2
Answer:
A. If we consider two right triangles one Δ ABD and Δ BCE, where D(2,100) and E(1,60) points
B. From the graph, it is clear that the initial value of the graph is 60 m and it represents the initial position of the shark i.e. at t = 0 min, the shark was at a depth of 60 m from the water surface.
The slope of the graph is 40 means the rate of change of distance from the Ocean surface of the shark with respect to time in minutes will be 40 m per min.
Step-by-step explanation:
Answer:
The answer is D) 13.9
Step-by-step explanation:
Since the angle of elevation is adjacent to the length of 24, than to find the height you have to use tangent. so you take your calculator in DEGREES mode and enter tan(30) which gives you =0.5773502692... than you would multiply by 24 which gives you the height =13.8564.....
Sorry if I wasn't specific enough, ask if you want more help. I am sure this is the right answer
Answer:
4/5
=0.8
explanation
My answer is 0.8 because four less than five and five greatest than four.
So four divide five is equal to zero point eight.
