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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y = x + 1, y = 0, x = 0, x = 4; about the x-axis

Respuesta :

Percivle

Answer:

V= 124π/3

Step-by-step explanation:

V=∫πr²dx

  • r=yx(x+1)
  • integration limits are x=0 to x=4

This gIves:

=∫π(x+1)²dx

=∫π(x²+2x+1)dx

=π(x³/3+x²+x) |₀⁴

=π(4³/3+4²+4)-π(0³/3+0²+0)

=π(64/3+16+4)

=π(64/3+48/3+12/3)

=π(124/3)=124π/3

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