Seeking indefinite integral: ∫ (e ^ (T ^ 2)) DT and ∫ (e ^ (- T ^ 2)) DT As shown in the figure, ∫ (e ^ (T ^ 2)) DT and ∫ (e ^ (- T ^ 2)) DT

For the second problem, if the integral limit is r, then the value is pi ^ 0.5 and PI is pi, which is called Poisson integral

RELATED INFORMATIONS

1. Solving indefinite integral ∫ [t * e ^ (- cost)] DT
2. A detailed derivation of sin ^ 2 (WT + ∮) = (1 / 2) [1-cos ^ 2 (WT + ∮]
3. cos^15°-sin^15°=
4. Find the value of COS ^ 15 ° + sin ^ 15 °
5. Let I = sinwt, then di / dt = dsinwt / dt = coswt * D (WT) / dt = wcoswt. What formula is used to get DWT / dt = w in the last step?
6. The relationship between sin α and cos α How to find cos α and Tan α when sin α = 4 / 5
7. The relationship between sin and COS
8. The relationship between sin and COS Evaluation: sin6 °× sin42 °× sin66 °× sin78 °
9. The relationship between COS and sin
10. What's the relationship between COS and sin in the same corner? It's better to say how to prove it Better be specific,
11. How to find the indefinite integral e ^ (- T ^ 2) DT
12. Indefinite integral DT / 1 + √ t
13. Solving indefinite integral: ∫ DT / (t-1) ^ 2 solving process
14. Definite integral substitution method ∫ [2T / (1 + T)] DT =?
15. Finding the indefinite integral of (t-1) * ln (T) DT
16. What is LIM (x tends to + ∞) (∫ e ^ t & # 178; DT) &# 178; / ∫ e ^ 2T & # 178; DT equal to?
17. Find the limit LIM (x → + ∞) ∫ [0, x] (arctant) & # 178; DT / √ (X & # 178; + 1)
18. Find the limit LIM (x → 0) (∫ (0, x) cost & # 178; DT) / X of this problem
19. Find the limit Lim [e ^ (- x) ^ 2] / X ∫ (upper limit x, lower limit 0) (T ^ 2) [e ^ t ^ 2] DT Lim [e ^ (- x) ^ 2] [∫ (upper limit x, lower limit 0) (T ^ 2) (e ^ t ^ 2) DT] / X What is the limit of this problem when x tends to infinity?
20. Find the limit LIM (t → x) (Sint / SiNx) ^ [x / (Sint SiNx)], this problem "e ^ ln (Sint / SiNx) ^ [x / (Sint SiNx)]",