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If $a$ and $b$ are positive numbers, show that$$\int_{0}^{1} x^{a}(1-x)^{b} d x=\int_{0}^{1} x^{b}(1-x)^{a} d x$$

$=\int_{0}^{1} x^{b}(1-x)^{a} d x$Hence proved

Calculus 1 / AB

Calculus 2 / BC

Chapter 5

INTEGRALS

Section 5

The Substitution Rule

Integrals

Integration

Integration Techniques

Campbell University

Oregon State University

University of Nottingham

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

0:00

If $ a $ and $ b $ are pos…

05:53

Rewriting Integrals

01:30

Evaluate the following int…

01:34

\begin{equation}\text …

02:37

Prove that $$\int x b^{x} …

00:47

Show that if $c>0,$ the…

00:50

Show that if $c > 0,$ t…

05:19

Show that $$\int_{a}^{b} \…

06:33

Prove that $ \displaystyle…

04:03

in the way in, Do you have? It is. It's to the booth. One minus X to the power bi the X so X equals Y minus you their projects. People minus deal limits Intent from Do you want a toe? One minus one minus while it is given us one and zero. Therefore, we have these equals one video. One man has the power A and 21 minus one minus you to the power mean my everyone is given us minus one. Did you know one minus you, Bob K U to the power bi, do you as you know that? Then we have this stuff indication Witty's If X ds equals minus and him it affects dicks that they have changed the limits. So this is the given ass, Do she? You don't want why I ask you to the fouling the power Me, you And we also know that division And if off you do you even as a commission And if off x the X equal division One extra power being one minus x to the power a years So it is. This is the answer to

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