উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।
ব্যাখ্যা ও সঠিক সমাধান
উত্তর:
√2
∫ sec⁻¹x dx = sec⁻¹x. Limits from 1 to x. sec⁻¹x = π/2 => x = sec(π/2) = undefined. Wait, integral is sec⁻¹x. sec⁻¹x = π/2 is not possible. Check integral: ∫ dx / (x√(x² - 1)) = sec⁻¹x. If limits are 1 to x, sec⁻¹x = π/2 => x = sec(π/2) is wrong. Maybe limits are √2 to x. sec⁻¹x - sec⁻¹√2 = π/2 => sec⁻¹x - π/4 = π/2 => sec⁻¹x = 3π/4.