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Please Solve these questions of Applied Mathematics, i want to show them in assignment need detailed solution, thankyou5_LI.jpg6_LI.jpg7_LI.jpg8_LI.jpg9_LI.jpg

5_LI.jpg
5
E
n2
sin (wan)
B
n=1
In the above equation, w =
19| #
3
+
2
i and A, B, Care integers with A and B coprime. Find A + B + C.
Note: 1 =
1 is the imaginary unit.
6_LI.jpg
7_LI.jpg
.DO
I(a) =
In(x- + 1)
o
x2 (x2 + a)
Define I (a ) as above, where a > 0. Then
I(1) + I(2) =
- (x1 . x3 - Vx] In (vx1 +x2) - x; In (x1))
where 1, 22, 23, and 4 are positive integers. Find a1 + 22 + 23 + 4.
8_LI.jpg
9_LI.jpg
9
sin 3x
-OO
ar+ + 1
de = Te ve sin *
If the above equation is true for positive integers a, b, c, d and e ,where c and e are square free numbers, find the
value of a + btc+ dte.

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