問題：次の式を計算せよ。(答えは簡単な式にせよ)
- (1) \( \displaystyle \int_{0}^{1} x^{2024} dx \)
- (2) \( \displaystyle \int_{100}^{200} e^{x - 100} dx \)
- (3) \( \displaystyle \int \dfrac{1}{x\log 15} dx \)
- (4) \( \displaystyle \int \biggl( \dfrac{\sqrt{x}}{2x} - \dfrac{2}{x^3} \biggr) dx \)
- (5) \( \displaystyle \int \sin^2 \dfrac{x}{2} dx \)