Using the substitution $u=5 x-2$, the integral below can be transformed into a simpler integral:
\[
\int_{0}^{1}(5 x-2)^{2 / 3} d x=\int_{a}^{b} c u^{2 / 3} d u
\]
for some numbers $a, b$, and $c$, where $a< b$. What are the exact values of these constants?
In each case, give the exact value of the constant.
Q5.1
1 Point
The exact value of $a$ is...

Answer

Expert–verified

Hide Steps

Answer

Final Answer: The exact value of a is $\boxed{-2}$.

Steps

Step 1 ：The lower limit of the integral in terms of x is 0. We can substitute this into the equation u=5x-2 to find the corresponding lower limit in terms of u, which will be our a.

Step 2 ：Substitute x = 0 into the equation to get a = -2.

Step 3 ：Final Answer: The exact value of a is $\boxed{-2}$.

Answer

Popular Problems