Page 36 - Integration Problems
P. 36

1
                   Area of triangle =  ×          × ℎ      ℎ  
                                          2
                                 1                    1
                              =     × 5 × 5 = 12
                                 2                    2
        Calculate the area under the curve,




























                                          1  3     2
                       Area of grey =  ∫ (   + 1)    
                                          2 −1

                                    1     3       3
                                 = [        +   ]
                                    2 3
                                                  −1
                             1 3  3          (−1)   3
                          = [       + 3 −             + 1]
                             2 3                3





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