समाकलन अध्धयन -1
🧮 Integration Practice Questions – Solutions 👉 Q1: ∫3x² dx Solution: यहाँ power rule लगाते हैं: \int x^n \, dx = \frac{x^{n+1}}{n+1} + C तो, \int 3x^2 \, dx = 3 \cdot \frac{x^{2+1}}{2+1} + C = 3 \cdot \frac{x^3}{3} + C = x^3 + C ✅ Final Answer: x^3 + C --- 👉 Q2: ∫sin(x) dx Solution: \int \sin(x) \, dx = -\cos(x) + C ✅ Final Answer: -\cos(x) + C --- 👉 Q3: ∫1/x dx Solution: \int \frac{1}{x} \, dx = \ln|x| + C ✅ Final Answer: \ln|x| + C --- ✅ Summary Chart: Question Answer ∫3x² dx x³ + C ∫sin(x) dx -cos(x) + C ∫1/x dx ln