## aprilanahi 2 years ago Find the indefinite integral of ((1/2t)-(2)^(1/2)e^t)dt

1. TuringTest

$\large\int\frac12t-2^{\frac12e^t}dt$This?

2. aprilanahi

No, the first t is in bottom with the 2, and the second 2 is under a radical by itself and e^t is another variable not an entire exponent

3. Spacelimbus

$\Large \int \frac{1}{2t}dt- 2^{1/2} \int e^t dt$ If that's not what you mean I suggest you, trying to $$\LaTeX$$ it out yourself, so we all talk about the same problem.

4. aprilanahi

It's almost right just include e^t after the square root of 2 and take off dt till the end

5. mathsmind

$\int\limits_{-\infty}^{\infty}[\frac{ 1 }{ 2t }-\sqrt{2}e^t]dt$

6. mathsmind

7. mathsmind

@Spacelimbus is right you need to tell him the right question so he can help you to provide you with the right solution.

8. mathsmind

$\int\limits[\frac{ 1 }{ 2t }-\sqrt{2}e^t]dt$

9. mathsmind

sorry this is an indefinite integral i think you are asking

10. mathsmind

if this is the right question then the answer would be

11. mathsmind

$=\frac{ 1 }{ 2 }\ln(t)-2^\frac{ 1 }{2 } e^t+c$

12. mathsmind

13. aprilanahi

Yes that's the right question! But how you solve it?

14. aprilanahi

Forget it, I got it, thank you