AP EAMCET · Maths · Area Under Curves
The area (in sq. units) bounded by the curve and the tangent to it at and the -axis is
- A sq. units
- B sq. units
- C sq. units
- D sq. units
Answer & Solution
Correct Answer
(A) sq. units
Step-by-step Solution
Detailed explanation
The equation is given as, y=x2+2x+1 Differentiate the above equation with respect to x, dydx=2x+2 At (1,4) dydx=21+2=4 The figure below represents the area bounded. The bounded area is, A=∫01ydx-12(OA×AP) ⇒A=∫01x2+2x+1dx-121×4 ⇒A=x33+x2+x01-2…
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