Definite integral. My answer is different from Wolfram alphas. Why?

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I am trying to solve this definite integral:

$$\int_0^1 ( x^{10} + 10^{x} )$$

$$ \left[ \frac{x^{11}}{11} + \frac{10^x}{\ln 10} \right ]_0^1$$

$$ \frac{1}{11} + \frac{10}{\ln{10}} - 1$$

But wolfram alpha says this:

enter image description here

How do I unite the two?

2

There are 2 best solutions below

3
On

I think you have mistakenly taken $10^0$ as $0$.

2
On

You just substituted the value wrong.

\begin{align} \left. \frac{x^{11}}{11} + \frac{10^x}{\ln 10} \right|_0^1 &= \frac{1-0}{11} + \frac{10^1-10^0}{\ln 10}\\ &= \frac{1}{11}+\frac{9}{\ln 10} \end{align}