Question

Y

なぜ［ ］の中の数字や式になるのですか？
教えてください🙏

次の定積分を求めよ。
(1)
a) ₁5dx = [52] = 15-5 = 10
(2) S²₁4xdx = [2x² ] ² = 8 - 0 = 8
(3) [₁38²dx = [X³] ₁₁ = 1-(-1) = 2
x = (x²-3x 1'₁
(4) S²(2x-3)dx =
= ( 1 − 3) − ( 9 + 9) = -2-18
=-20
(5),(6x+3)dx = [3x²+3x]',
=
- (3+3) − (3-3) = 6-0=6
[²(²-x+1dx = [x² - 1x²+x] ²
=(27-12/+3)-(1-1/2+1)
=(30-1/4)-(2-12)
次の定積分
(1) Sad
(7) S²₂ (3x²¹—4x-2)dx
4
= [X²-2x²-2x] +₂
-2
(2)
07
=30-12-2+1/10=28-012/20=28-4=24
= (64-32-8)-(-8-8 + 4) = 24 - (-12) = 36
(8) √ √(x-35²dx = √ √(x² - 6x + 9) dx
= [x²-3x² + 9x]
19
= (-3+9) - (0-0+0) = (+6) -0 = 17
3
(9) S²(x+¹²dx = S²(x²+2x+1) dx
= [ + x² + x^²+x]]}
+2
= (9+9+3) - (- +1-1) = 21-(-3)
64
= 21+ =—=— = 5/4
3
3