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 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](/WebImages/13/fx-1x-6x2-find-the-integral-for-fxsolutionwe-have-to-find-1014512-1761524036-0.webp)