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Let $ denote the integral symbol, as I am limited here by my keyboard.
Recall the formula for integration by parts:
$ u.(dv/dx) dx = uv - $ u(dv/dx) dx
So to find $pi0...
Convert all fractions denominator into 12
3/12 , 8/12, 6/12, 4/12
Hence in order
1/4, 2/6, 1/2, 2/3
We shall differentiate each term in the equation with respect to x.
dy/dx (x2) = 2x
dy/dx (2y2) = 4y dy/dx
dy/dx (3x) = 3
So we now have the equation 2x +...
We are going to use the F.O.I.L Method for this expansion,
FIRST
2x*x = 2x2
OUTSIDE
2x*3 = 6x
INSIDE
-4x*x = -4x
...
Substitute in each letter for the appropriate number that it equals. Q = 36 / (3 x (4--2)) Q = 36 / (3x(4+2)) Q = 36 / (3x6) Q = 36 /18 Q = 2
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