_0^1 x(1-x)^n d x= _________. - Vidyadip

MCQ

$\int_0^1 x(1-x)^n d x=$ _________.

A
$\frac{1}{n^2-3 n+2}$
B
$\frac{1}{n^2-3 n-2}$
C
$\frac{1}{n^2+3 n+2}$
D
$\frac{1}{n^2+3 n-2}$

✓

Answer

SELF

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Model Paper 1→Model Paper 1 — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

$\int_{}^{} {\frac{{{e^{ - x}}}}{{1 + {e^x}}}\;dx = } $

Let $\alpha$ be the area of the larger region bounded by the curve $y ^2=8 x$ and the lines $y = x$ and $x =2$, which lies in the first quadrant. Then the value of $3 \alpha$ is equal to $..............$.

Let $f(\mathrm{x})=\left\{\begin{array}{cl}-\mathrm{a} & \text { if }-\mathrm{a} \leq \mathrm{x} \leq 0 \\ \mathrm{x}+\mathrm{a} & \text { if } 0<\mathrm{x} \leq \mathrm{a}\end{array}\right.$ where $\mathrm{a}>0$ and $\mathrm{g}(\mathrm{x})=(f|\mathrm{x}|)-|f(\mathrm{x})|) / 2$. Then the function $\mathrm{g}:[-\mathrm{a}, \mathrm{a}] \rightarrow[-\mathrm{a}, \mathrm{a}]$ is

If $\left[ {\begin{array}{*{20}{c}}3&1\\4&1\end{array}} \right]X = \left[ {\begin{array}{*{20}{c}}5&{ - 1}\\2&3\end{array}} \right],$then $X =$

If a curve $y = f ( x )$ passes through the point $(1,2)$ and satisfies $x \frac{d y}{d x}+y=b x^{4},$ then for what value of $b, \int_{1}^{2} f(x) d x=\frac{62}{5} ?$

Let the f: R → R be defined by $\text{f(x)}=2\text{x}+\cos\text{x}$ then f:

The value of $\alpha$ for which $4 \alpha \int\limits_{-1}^{2} \mathrm{e}^{-\alpha \mathrm{|x|} } \mathrm{d} \mathrm{x}=5,$ is

If $\sin y + {e^{ - x\,\cos y}} = e,$ then ${{dy} \over {dx}}$ at $(1,\pi )$ is

A purse contains $4$ copper coins and $3$ silver coins, the second purse contains $6$ copper coins and $2$ silver coins. If a coin is drawn out of any purse, then the probability that it is a copper coin is

If $A=\left[\begin{array}{lll}1 & 0 & 1 \\ 0 & 0 & 0 \\ 1 & 0 & 1\end{array}\right]$, then $A^2=$ ?