Let . Without evaluating the integral, explain why…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let y(x)=7+∫2x ⁣sin⁡t dty(x)=7+\displaystyle\int_{2}^{x}\!\sin t\,dt. Without evaluating the integral, explain why y(2)=7y(2)=7.

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