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Integrate using by parts twice : ∫e^(x)*(cos(x))dx

By putting u=cosx and v’= e^x , use the by parts formula to get:∫e^(x)(cos(x)) dx = cos(x)e^x - ∫-(e^x)sin(x) dx. Use by parts again on the second term to get ∫ =cos(x)e^x + sin(x)e^x - ∫e^(x)(c...

IZ
Answered by Isma Z. Maths tutor
5913 Views

How far did the lives of black americans change 1930-2000?

The lives of black Americans changed to a great extent in the period mentioned. In the eyes of the law, their lives saw many positive changes. At the beginning of the period, the laws known as 'Jim Crow' ...

JH
Answered by Jacob H. History tutor
1842 Views

Prove by induction that, for all integers n >=1 , ∑(from r=1 to n) r(2r−1)(3r−1)=(n/6)(n+1)(9n^2 -n−2). Assume that 9(k+1)^2 -(k+1)-2=9k^2 +17k+6

First, recall how to construct a proof by simple induction in this manner: (1) Assume statement true for n=k, (2) Prove true for n=k+1, (3) Show true for n=1.(1) => ∑(from r=1 to k) r(2r−1)(3r−1)= (k/6...

TK
5993 Views

Integrate ((7e^(x/2))/4) with respect to x within the bounds of x=0 and x=2. (Basic introduction to definite integration)

Check to see if anything can be removed from withing the integral and taken out the front. In this case, 7/4 can be taken out the front (as it is not dependent on x), leaving only the term e^(x/2) to be i...

NM
Answered by Niall M. Maths tutor
2771 Views

¿Qué sabes tú de las relaciones multiculturales en el mundo hispánico?

Puntos que mencionar:-El pueblo indígeno en países como Bolivia (Aymara) y Chile (Mapuche).-España acoge a muchos inmigrantes, por eso su población se Vuelve en muy multicultural. Por ejemplo, muchos vien...

BC
Answered by Benjamin C. Spanish tutor
4214 Views

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