Perfect Eleven

Calculus Level 3

∫ 2 10 ( x − 1 ) ( x − 2 ) ( x − 3 ) ⋯ ( x − 11 ) d x = ? \large \int_2^{10} (x-1)(x-2)(x-3)\cdots(x-11) \, dx = \ ?

Give your answer to 3 decimal places.


The answer is 0.000.

View wiki
Anish J by anish j , 22, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Shivam Garg
Sep 21, 2015

Or we can replace x by x+6 ( as 6 is the mid value bw 1 and 11) and hence will subtract 6 from limits. This will give us new limits as -4 and 4 and new function formed will be an odd function and hence using property of definate integration, the above integral becomes 0 .

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Anish J
Sep 5, 2015

Using the property of integration replacing x by 2+10-x so adding the given equation and replaced equation we get 2I = 0 , So I = 0 .

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...