Rajasthan Board Class 12 (RBSE) Integrals — practice questions
13 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice Rajasthan Board Class 12 (RBSE) Integrals in the app →The integral $\int x^3\, dx$ equals:The definite integral $\int_0^1 x\, dx$ equals:To evaluate $\int x\cos x\, dx$, the best technique is:If $f$ is an odd function, $\int_{-a}^a f(x)\, dx$ equals:Compute ∫ 2x sin(x²) dx using substitution:In integration by parts (∫u dv = uv − ∫v du), the LIATE rule helps choose 'u'. For ∫x ln(x) dx, the correct chThe integral ∫ x^n dx (for n ≠ -1) equals:By the Fundamental Theorem of Calculus, ∫_0^2 (3x² + 2x) dx equals:The integral ∫_{-1}^{1} x³ dx equals:The AREA bounded by y = x² and the x-axis from x = 0 to x = 3 is:The improper integral ∫_1^∞ (1/x²) dx evaluates to:By Walli's formula, ∫_0^(π/2) sin^4(x) dx equals:When the integrand has NO simple anti-derivative (like e^{-x²}), the most common numerical method is: