1. Find the area under the given curves and given lines
(i) y = x^2 , x=1 , x= 2 and x axis
(ii) y = x^4 , x=1 , x= 5 and x axis | |

2. Find the area between the curves y = x and y = x^2 | |

3.Find the area of the region lying in the first quadrant and bounded by y = 4x^2, x=0, y=1 and y= 4 | |

4. Sketch the graph of y = x + 3 and evaluate integration limits 6 to 0 of x + 3 dx | |

5. Find the area bounded by the curve y = sin x between x = 0 and x = 2π.
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6. Find the area enclosed between the parabola y^2 = 4ax and the line y =mx | |

7. Find the area enclosed by the parabola 4y = 3x^2 and the line 2y = 3x + 12 using integration to find area, | |

8. Find the area of the smaller region bounded by the ellipse x^2/9 + y^2/4 = 1 and the line x/3 + y/2 =1 | |