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04.05.2020 •
Mathematics
Use limits to find the area between the graph of the function and the x axis given by the definite integral.
∫₁⁵(x²-x+1)dx
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Ответ:
Step-by-step explanation:
Let
3
4
u
2
=
(
x
−
1
2
)
2
⇒
√
3
2
u
=
x
−
1
2
⇒
√
3
2
d
u
=
d
x
⇒
∫
1
3
4
u
2
+
3
4
⋅
√
3
2
d
u
⇒
√
3
2
∫
1
3
4
(
u
2
+
1
)
d
u
⇒
2
√
3
3
∫
1
u
2
+
1
d
u
Using an antiderivative what should be committed to memory...
⇒
2
√
3
3
tan
−
1
u
+
c
⇒
u
=
2
x
−
1
√
3
⇒
2
√
3
3
tan
−
1
(
2
x
−
1
√
3
)
+
c
Ответ:
Answer
u a child