Question

Can someone show me how to do this integral problem?

3x sqrt -x^2 + 1 dx

Answer 1

Yeah Me

Answer 2

whats ur ques? type it in equation no

Answer 3

\[\int 3x \sqrt(-x^2 +1)dx\]

Answer 4

Right?

Answer 5

try
\[u=1-x^2\]

Answer 6

Well put \[t = -x^2 +1\]then differentiate

Answer 7

lol

Answer 8

to get \[\frac{dt}{dx} =-2x\]
\[dx = \frac{dt}{-2x}\]

Answer 9

Then just substitution

Answer 10

\[ \frac{3}{-2} \int \sqrt t dt \]

Answer 11

thats easy enough to integrate

Answer 12

good one.