Q.1 (B)(i) State whether true or false: displaystyle∫_a^b f(x) dx = ∫_a^b f(t) dt

Chapter: Definite Integration· Mathematics & Statistics (Commerce) Part 1

State whether true or false: \(\displaystyle\int_a^b f(x)\,dx = \int_a^b f(t)\,dt\)

Q.1 (B)(i) State whether true or false: \(\displaystyle\int_a^b f(x)\,dx = \int_a^b f(t)\,dt\)

Doubtly Asked 29 Oct 2026 Board exam · March 2024 hsc 12th Save WhatsApp Report

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Answer: True

A definite integral depends only on the function and the limits, not on the symbol used for the variable of integration. If \(\int f(x)\,dx = g(x) + c\), both sides equal \(g(b) - g(a)\).

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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State whether true or false: \(\displaystyle\int_a^b f(x)\,dx = \int_a^b f(t)\,dt\)

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