JEE 2023 — Mathematics PYQ

Q: How do I solve JEE 2023 Mathematics questions?

Practice JEE 2023 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

Q: What is the difficulty level of JEE Mathematics questions?

JEE Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

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Yes. Mathem Solvex provides free access to JEE previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

Question

JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Let $[t]$ denote the greatest integer function. If $\int_{0}^{24} [x^{2}] d x = α + β 2 + γ 3 + δ 5$ then $\alpha + \beta + \gamma + \delta$ is equal to ________.

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Explanation

\int_{0}^{2.4} [x^2] dx = \int_{0}^{1} [x^2] dx + \int_{1}^{\sqrt{2}} [x^2] dx + \int_{\sqrt{2}}^{\sqrt{3}} [x^2] dx + \int_{\sqrt{3}}^{2} [x^2] dx + \int_{2}^{\sqrt{5}} [x^2] dx + \int_{\sqrt{5}}^{2.4} [x^2] dx

\int_{0}^{2.4} [x^2] dx = \int_{0}^{1} [x^2] dx + \int_{1}^{\sqrt{2}} [x^2] dx + \int_{\sqrt{2}}^{\sqrt{3}} [x^2] dx + \int_{\sqrt{3}}^{2} [x^2] dx + \int_{2}^{\sqrt{5}} [x^2] dx + \int_{\sqrt{5}}^{2.4} [x^2] dx

Choose the correct answer:

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