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CBSE Class 12 · 2017 · Definite IntegralsVery Short Answer

Evaluate:

\int_{2}^{3} 3^{x} d x

Answer: $\frac{18}{l o g 3}$

Solution

Using

\int a^{x} d x = \frac{a ^{x}}{lo g a}

:

\int_{2}^{3} 3^{x} d x = [\frac{3 ^{x}}{lo g 3}]_{2}^{3} = \frac{27 - 9}{lo g 3} = \frac{18}{lo g 3}

CBSE Class 12 Board · 2017 · Subjective

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