+∞
∫ x · e ^(-x² ) dx = / The substitution: u = - x², x d x = - du / 2
-∞
+∞
= - 1/2 · ∫ e ^(u) du = - 1/2 · e ^(-x²) /
- ∞
e^(-∞) = 1 / e^(∞)
= -1/2 · [ 1/ e^(∞) - 1/ e^(∞) ] = -1/2 · ( 0 - 0 ) = 0
Answer:
-16
Step-by-step explanation:
FOIL Method
(-3+1) (-3+2)
-3(-3) + -3(2) + 1(-3) + 1(2)
-9 + -6 + -3 + 2
-15 -3 + 2
-18 +2
-16
Answer:
x = 5
Step-by-step explanation:
The sum of interior angles in a triangle is 180°
91° + 10x - 4° + 8x + 3° = 180° add the like terms
90° + 18x = 180°
18x = 180° - 90
18x = 90° divide both sides by 18
x = 5
Answer:
x = 5, -4
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.