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  3. Let f(x) =1+3^x log 3 and F(x) be its antiderivative which assume the value 7 for x=2 . The value of x for which the curve F(x) cuts the abscissa axis is
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Let f(x) =1+3^x log 3 and F(x) be its antiderivative which assume the value 7 for x=2 . The value of x for which the curve F(x) cuts the abscissa axis is

Answers (1)
D Deependra Verma

Solution:  

             F(x)=int f(x)hspace0.1cmdx+C=x+3^x+C  but F(2)=7

               Rightarrow       7=2+9+C

              Rightarrow      C=-4  .Hence  F(x)=x+3^x-4. Now  F(x)=0

              Rightarrow       x=1.

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