Math Problem?
Find the rea bounded by the curve y=3x²+x the ordinates x=a, x=2a.
Update:Find the area bounded by the curve y=3x²+x the ordinates x=a, x=2a.
The given answer is 7a³+3/2a².
Find the rea bounded by the curve y=3x²+x the ordinates x=a, x=2a.
Update:Find the area bounded by the curve y=3x²+x the ordinates x=a, x=2a.
The given answer is 7a³+3/2a².
Comments
2a
∫ 3x² + x dx = [ x³ + x²/2 ]____limits a to 2a
a
[ 8a³ + 2a² ] - [ a³ + a²/2 ] = 7a³ + [3/2] a²
Assuming rea means area, you want
∫3x²+x dx from x=a to x=2a
That equals a^2 (14a + 3) / 2.