AP

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Evaluate ∫5e5x−4e4xe5x−e4x dx\displaystyle \int \frac{5e^{5x}-4e^{4x}}{e^{5x}-e^{4x}}\,dx. (a) ln⁡∣e5x+e4x∣+C\ln|e^{5x}+e^{4x}|+C (b) ln⁡∣e5x−e4x∣+C\ln|e^{5x}-e^{4x}|+C (c) ln⁡∣5e5x−4e4x∣+C\ln|5e^{5x}-4e^{4x}|+C (d) e5x−e4x+Ce^{5x}-e^{4x}+C

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