What is the integral of 1/x e^{ln(x)} ?

The integral of 1/x e^{ln(x)} is x+C

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integral of 1/x e^{ln(x)}

\int \frac{1}{x} e^{l n (x)} d x

x + C

Solution steps

\int \frac{1}{x} e^{l n (x)} d x

\frac{1}{x} e^{l n (x)} = 1

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

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\int sin (2 x + 2) d x

\frac{x}{1 - x ^{2}}