Question

The slope of the tangent to a curve y =f(x) at (x,f(x)) is 2x+1. If the curve passes through the point (1,2), then the area of the region bounded by the curve, the x-axis and the line x=1 is

• A. 5/6
• B. 6/5
• C. 1/6
• D. 6

Answer 1

Answer: (A)

5/6

Answer 2

We have = $2 \mathrm { x } + 1$ Integrating both sides w.r.t. x, we get $y = x ^ { 2 } + x + C$ Since the curve passes through (1,2)

So, $y = x ^ { 2 } + x$ Required area =