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Mathematics
Mathematics
Problem
Let
I
I
I
denote the integral
∫
6
(
3
x
+
2
)
sin
[
(
3
x
+
2
)
2
]
d
x
\displaystyle \int 6\,(3x+2)\,\sin\bigl[(3x+2)^{2}\bigr]\,dx
∫
6
(
3
x
+
2
)
sin
[
(
3
x
+
2
)
2
]
d
x
. a. (i) Find the general antiderivative of
I
I
I
. Write the constant of integration explicitly. b. (ii) Differentiate your antiderivative to verify that it yields the original integrand.
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