Answer:
labron james
Step-by-step explanation:labron james labron james labron james
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:
A. 20t² + 9t - 20
Step-by-step explanation:
(5t × 4t) + (5t × 5) - (4 × 4t) - (4 × 5)
= 20t² + (25t - 16t) - 20
= <u>20t² + 9t - 20</u> (A)
<em>Hope </em><em>this </em><em>is </em><em>h</em><em>e</em><em>l</em><em>p</em><em>ful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
Answer:
f9
Step-by-step explanation:
Answer:
Step-by-step explanation:
8 ^3
Volume of a cube is base times height
l*w*h
A cube is a 3d square meaning all of its dimensions are equal
8*8*8
