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Recent questions tagged integrals

Let $f:(0,\infty)\rightarrow R$ and $f(x)=\int_0^xf(t) dt$ if $f(x^2)=x^2(1+x)$ then f(4) equals

asked Jan 2, 2014 by sreemathi.v

1 answer

Suppose $f:R\rightarrow R$ is a differentiable function and $ f(1)=4$.Then value of $\lim\limits_{x\to 1}\int\limits_4^{f(x)}\large\frac{2t}{x-1}$$dt$ is

asked Jan 2, 2014 by sreemathi.v

1 answer

$\lim\limits_{n\to \infty}\bigg[\large\frac{1}{1-n^2}+\frac{2}{1-n^2}+..........+\frac{n}{1-n^2}\bigg]$ is

asked Jan 2, 2014 by sreemathi.v

1 answer

$\lim\limits_{n\to \infty}\sum\limits_{r=1}^n\large\frac{\pi}{n}$$\sin\large\frac{\pi r}{n}$ is

asked Dec 24, 2013 by sreemathi.v

1 answer

$\lim\limits_{n\to\infty}\large\frac{1+2^4+3^4+......n^4}{n^5}$ - $\lim\limits_{n\to\infty}\large\frac{1+2^3+3^3+......n^3}{n^5}$ =

asked Dec 23, 2013 by sreemathi.v

1 answer

$\lim\limits_{n\to\infty}\large\frac{1^p+2^p+3^p+.....+n^p}{n^{p+1}}$ is

asked Dec 20, 2013 by sreemathi.v

1 answer

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