1.

Evaluate: \(\int_0^{π/2}\)(sin2 x + cos4 x) dx

Answer»

Given that I =   \(\int_0^{π/2}\)(sin2 x + cos4 x) dx

  = \(\int_0^{π/2}\)(sin2 xdx + \(\int_0^{π/2}\) cos4 xdx

= 1/2 - π/2 + 3/4 x 1/2 x π/2 

= 7π/16



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