What is the integral from 1 to e of (Inx)/x ?

The integral from 1 to e of (Inx)/x is Ine-In

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integral from 1 to e of (Inx)/x

\int_{1}^{e} \frac{I n x}{x} d x

I n e - I n

Solution steps

\int_{1}^{e} \frac{I n x}{x} d x

Cancel the common factor:

x

= \int_{1}^{e} I n d x

Integral of a constant:

\int a d x = a x

= [I n x]_{1}^{e}

Compute the boundaries:

I n e - I n

= I n e - I n

\int_{3}^{5} 8 + x^{2} d x

\int_{0}^{\frac{π}{2}} cos (0 x) d x

\int_{1}^{\infty} \frac{n}{e ^{n}}

\int_{1}^{3} 1 - \frac{x}{3} d x

\int_{6}^{10} 0.5 x^{- 1.5} d x

What is the integral from 1 to e of (Inx)/x ?
The integral from 1 to e of (Inx)/x is Ine-In