Home
Class 12
MATHS
int0^1x(1-x)^100dx...

`int_0^1x(1-x)^100dx`

Text Solution

Verified by Experts

`I=int_0^1x(1-x)^100dx`
=`int_0^1(1-x)x^100dx`
=`int_0^1(x^100-x^101)dx`
=`[x^101/101-x^102/102]_0^1`
=1/101-1/102=1/10302
Promotional Banner

Topper's Solved these Questions

  • Elements of Mathematics

    MBD PUBLICATION|Exercise QUESTION BANK|48 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MBD PUBLICATION|Exercise QUESTION BANK|40 Videos

Similar Questions

Explore conceptually related problems

int_0^1x(1-x)^ndx

what is the value of int_0^(1) x(1-x)^99 dx ?

Evaluate the following integrals int_0^1x^(1/3)dx

Integrate: int_0^1 xlog(1+x)dx

Evaluate the following integrals int_0^1x^7(1+x^8)^(1/3)dx

If int_0^1f(1-x)dx=2 ,then what is the value of int_0^(1//2)f(2t)dt

Evaluate int_0^1 (1+x^2) dx

Evaluate int_0^100 (x-[x]) dx