Find the area under the curve -sin(x)+5x+x^2 between the y-axis and the line x=1

integrate the function:sin(x)+5x+x2 => cos(x)+2.5x2+(1/3)x3sub in your limits, x=1 and x=0:[cos(x)+2.5x2+(1/3)x3]10find the value for when x=1 (remember to use radians for integrating trig):cos(1)+2.5(1)+(1/3)1 = 3.374then for x=0:cos(0)+0+0 = 1take x=0 answer from x=1:area = 3.374-1=2.374 square units

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