GATE EE 2026 Set 1 — Question 65

NAT+2 / -0HardDefinite & Improper IntegralsCalculusEngineering Mathematics

Engineering Mathematics → Calculus → Definite & Improper Integrals

Last updated 5 September 2026

Question

\frac{1}{\pi} \int_{0}^{\infty} \frac{x^{2026}}{(1 + x^{2026})(1 + x^2)} dx

I = \int_{0}^{\infty} \frac{x^{2026}}{(1 + x^{2026})(1 + x^2)} dx

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I = \int_{0}^{\infty} \frac{x^{2026}}{(1 + x^{2026})(1 + x^2)} dx

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