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Mathematics
Mathematics
Problem
Given function,
f
(
x
)
=
{
x
2
,
for
0
≤
x
<
1
x
,
for
1
≤
x
≤
2
f(x) = \begin{cases} x^2, & \text{for } 0 \le x < 1 \\ \sqrt{x}, & \text{for } 1 \le x \le 2 \end{cases}
f
(
x
)
=
{
x
2
,
x
,
for
0
≤
x
<
1
for
1
≤
x
≤
2
Evaluate
∫
0
2
f
(
x
)
d
x
\int_0^2 f(x) dx
∫
0
2
f
(
x
)
d
x
.
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