fx 1x 6x2 find the integral for fxSolutionWe have to find

f(x) = 1/x + 6x^2     find the integral for f(x)

Solution

We have to find the integral of f(x) where f(x) = 1/x + 6x^2

Now for 1/x , Int [ 1/x ]= ln x

and for x^n , Int[ x^n] = x^(n+1)/ (n+1)

So here f(x) = 1/x + 6x^2

=> Int [ 1/x + 6x^2 ]

=> Int [1/x] + Int [6x^2 ]

=> ln x + (6/3)*x^3

=> ln x + 2 x^3

The required result is ln x + 2 x^3

f(x) = 1/x + 6x^2 find the integral for f(x)SolutionWe have to find the integral of f(x) where f(x) = 1/x + 6x^2 Now for 1/x , Int [ 1/x ]= ln x and for x^n , I

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