\int_{0}^{1} a^{k} x^{k} d x=

Correct Answer is : limn→∞ak(1+2k+3k...+nk)nk+1

\lim_{n \to \infty} {a^{k}(1+2^{k}+3^{k} . . .+n^{k})}/{n^{k+1}}

\lim_{n \to \infty} {a^{k}+a^{k}+\cdots+a^{k}}/{n^{k+1}}

\lim_{n \to \infty} \frac{1}{n} \sum(\frac{r}{n})^{k}

\lim_{n \to \infty} \frac{1}{n} \sum(\frac{2 r}{n})^{k}

AP EAPCET 04-Jul-2022 Shift 1 Paper

Section: Mathematics

Question : 74 of 160

Marks: +1, -0

∫

akxkdx=

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