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Choose the correct option.
The value of ∫ aˣ · eˣ dx equals
The value of $\int a^x \cdot e^x \, dx$ equals
- (a)$(a^x \cdot \log_e a)e^x + c$
- (b)$\frac{a^x \cdot e^x}{\log_e(ae)} + c$
- (c)$\frac{a^x \cdot e^x}{\log_a e} + c$
- (d)$\log_e(ae)(ae)^x + c$
Answer
Answer
Official answer keyCorrect option: (b)
(b) $\frac{a^x \cdot e^x}{\log_e(ae)} + c$