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solve this integral using FTC int 1 ^ 3 2 ^ log(3) * (x ^ 3 + 2x ^ 2) /x*4 log 3 sqrt x+2 dx

Sagot :

Answer:

Here's how we solve the given integral:

∫ (x^3 + 2x^2) / (x * 4 * (sqrt(x + 2) * log(3)) dx, from 1 to 3

First, we can simplify the expression in the numerator: (x^3 + 2x^2)/x = x^2 + 2

Then, using the FTC, we can integrate as follows:

∫ (x^2 + 2) / (4 * sqrt(x + 2) * log(3)) dx

= (1/4) ∫ (x^2