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IB
Hard
Calculus
10–12
Evaluate
∫
0
2
x
(
x
2
+
1
)
3
d
x
\int_{0}^{2} x(x^{2} + 1)^{3} \, dx
∫
0
2
x
(
x
2
+
1
)
3
d
x
.
Calcula
∫
0
2
x
(
x
2
+
1
)
3
d
x
\int_{0}^{2} x(x^{2} + 1)^{3} \, dx
∫
0
2
x
(
x
2
+
1
)
3
d
x
.
Answer options
A.
624
B.
39
C.
78
D.
156
Check Answer
Solution
Step 1 of 4
1.
Substitute
u
=
x
2
+
1
u = x^{2} + 1
u
=
x
2
+
1
, so
d
u
=
2
x
d
x
du = 2x \, dx
d
u
=
2
x
d
x
Next step
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