pi/2
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The period of the tangent function is PI. The period of y= tan(2x) is PI over the coefficient of x = PI/2
Integral of 1 is x Integral of tan(2x) = Integral of [sin(2x)/cos(2x)] =-ln (cos(2x)) /2 Integral of tan^2 (2x) = Integral of sec^2(2x)-1 = tan(2x)/2 - x Combining all, Integral of 1 plus tan(2x) plus tan squared 2x is x-ln(cos(2x))/2 +tan(2x)/2 - x + C = -ln (cos(2x))/2 + tan(2x)/2 + C
amplitude =7. to find the period, set 2x equal to 2∏. then x=∏=period
Yes, that is a shifted tanX graph, just as you would shift any graft.
x=2