# Area - Important Formulae of the Area - Area Bounded By Curve

**Area - Area Bounded By Curve**

**1. **

The area bounded by the continuous curve y = f(x), the axis of x and the ordinates x = a and x = b (where b>a and

is given by

**2.**

If the curve cross the x- axis at (c, 0) then the area bounded by the curve y = f(x)and the coordinate x = a x = b(b > a and a < c < b) is given by

**3.**

When two curves y =f (x) and y =g (x) intersect, the bounded area

where and b are roots of equation f(x) ï€ g(x) where

**4.**

The area bound by the straight lines x=a, x=b(a < b) and the curves y=f(x) andy=g(x) Provided f(x)<g(x (a<= x<=b), is given by

**5.**

**Formulae :**

**1. **

The area of rhombus formed by is

**2.** The area of the region bounded by |x| + |y | =. a is. 2a*a sq.units

**3. **The area of the triangle formed by the lines is

**4. **The area of the parallelogram formed by a1x+ b1y +c1 = 0, a1x + b1y +d1 = 0, a2x. + b2y + c2 = 0,a2x + b2y + d2 = 0. is

**5. **Area of ther egion bounded by y = ax2 + bx + c. and x -axis is