∫ (1/x) dx =
Ax
Bx²
C-1/x²
Dln|x| + C
Answer & Solution
Correct answer: D. ln|x| + C
∫ dx/x = ln|x| + C. Special case of power rule that doesn't apply (n = -1). Absolute value ensures domain validity for both positive and negative x.
Related questions
If $f$ is an odd function, $\int_{-a}^a f(x)\, dx$ equals:To evaluate $\int x\cos x\, dx$, the best technique is:The definite integral $\int_0^1 x\, dx$ equals:The integral $\int x^3\, dx$ equals:∫ from 0 to π/2 sin x cos x dx =For ∫ dx / sqrt(a² - x²), let x = a sin θ. Result:∫ from 0 to 2 (x² - 2x) dx =Reduction formula example: ∫ sinⁿ x dx (for n ≥ 2) =