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)
35 is the answer
Explanation, the sum of interrior angme is 180degree
x+(3x+40)= 180
or, 4x= 180-40
or, x= 140÷ 4
or x = 35
Answer:
A: 2+27=29
B: The sum of the integers 2 and 27 is the integer 29, which demonstrates that integers are closed under addition.
Step-by-step explanation:
Since, closed property of addition for a set A is defined as,
∀ x, y ∈ A ⇒ x + y ∈ A,
∵ Set of integer is closed under multiplication,
If Z represents the set of integer,
Then 2, 27 ∈ Z ⇒ 2 + 27 = 29 ∈ Z,
Hence, the equation illustrates given statement,
2+27 = 29
The statement that correctly explains given statement,
The sum of the integers 2 and 27 is the integer 29, which demonstrates that integers are closed under addition.c
Hey there,
Your question states: <span>What is one main characteristic of secondary sources intended for academics and students
Your correct answer would be (</span>They include a bibliography and citations to credit the sources.<span>) It pretty much really depends on the (FOS). The field of study would depend weather if they would have drawling's on the map or if they wouldn't. The use different resources such as different references.
Hope this helps.
~Jurgen
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