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Question Number 40930 by scientist last updated on 29/Jul/18

Commented by prakash jain last updated on 29/Jul/18

$$f_k\left(x\right)=e^{e^{\text{iddots}k{times}^x}}$$$$\frac{d}{dx}{f}_k\left(x\right)=f_k\left(x\right)\frac{d}{dx}{f}_{k-1}\left(x\right)$$$$=f_k\left(x\right)f_{k-1}\left(x\right)...f_1\left(x\right)$$$$\int f_k\left(x\right)f_{k-1}\left(x\right)...f_1\left(x\right)dx=f_k\left(x\right)+C$$$$forthegivenquestionk=12.$$

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