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  • Let f(x) =1+3^x log3 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

Let f(x) =1+3^x log3 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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Solution:

F(x)=int f(x)dx +c=x+3^x+c\ \Rightarrow F(2)=7Rightarrow 7=2+9+c\ \Rightarrow c=-4 ,Hence ;F(x)=x+3^x-4\ \Rightarrow Now, F(x)=0Rightarrow x=1

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Deependra Verma

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