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Question
Mathematics
The value of the integral ∫ (x2 - 4 x √x + 6 x - 4 √x + 1/x - 2 √x + 1) d x is equal to ( where c is constant of integration)
Q. The value of the integral
∫
x
−
2
x
+
1
x
2
−
4
x
x
+
6
x
−
4
x
+
1
d
x
is equal to ( where
c
is constant of integration)
660
144
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NTA Abhyas 2022
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A
2
x
2
3
+
x
+
c
B
2
x
2
−
3
4
x
2
3
+
x
+
c
C
x
2
3
+
2
x
+
c
D
3
2
x
2
3
+
c
Solution:
I
=
∫
(
x
−
1
)
2
(
x
−
1
)
4
d
x
=
∫
(
x
−
1
)
2
d
x
=
∫
(
x
−
2
x
+
1
)
d
x
=
2
x
2
−
3
4
x
2
3
+
x
+
c