積分テストNo.30

制限時間は9:00 ～ 9:30まで
答えはDMに

問題：次の式を計算せよ。

(1) \( \displaystyle \int_{2}^{3} (x - 2)(x - 3) dx \)

(2) \( \displaystyle \int_{-3}^{-2} (x + 2)^3(x + 6) dx \)

(3) \( \displaystyle \int_{3}^{5} (x - 3)(x - 4)(x - 5) dx \)

(4) \( \displaystyle \int_{3}^{e+2} 2(x - 2)\log(x^2 - 4x + 4) dx \)

(5) \( \displaystyle \int_{\frac{\pi}{6}}^{\frac{\pi}{2}} \cos(x + \dfrac{7}{12}\pi)\cos(x + \dfrac{\pi}{12}) dx \)