Question

ASSIGNMENT

Evaluate -

`\sf \: \displaystyle\int_( - 1)^(25)\sf {e}^(x - [x])`
- Need help! ​

Answer 1

`\\ \rm\hookrightarrow \displaystyle\int\limits_(-1)^(25)e^(x-[x])dx`

• [x] is x if x is a real number

`\\ \rm\hookrightarrow \displaystyle\int\limits_(-1)^(25)e^(x-x)dx`

`\\ \rm\hookrightarrow \displaystyle\int\limits_(-1)^(25)e^0dx`

• e⁰=1

`\\ \rm\hookrightarrow \displaystyle\int\limits_(-1)^(25)dx`

`\\ \rm\hookrightarrow \left[x\right]_(-1)^(25)`

`\\ \rm\hookrightarrow 25-(-1)`

`\\ \rm\hookrightarrow 25+1`

`\\ \rm\hookrightarrow 26`

Answer 2

26

Step-by-step explanation:

`\int\limits^(25)_(-1) {e^(x-[x])} \, dx`

simplify

`\int\limits^(25)_(-1) {e^(0) \, dx`

any variable to the power 0 is 1

`\int\limits^(25)_(-1) 1 \, dx`

integrating 1 gives x

`\left[ \:x \: \right]^(25)_(-1)`

apply limits

`25 - (-1)`

add terms

`26`