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Let denote the integral .
MATHEMATICS · Multi-part · CBSE · Mathematics · Integrals · Integrals
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
. (i) Find the general antiderivative of
I
I
I
. Write the constant of integration explicitly. (ii) Differentiate your antiderivative to verify that it yields the original integrand.
Related theory
Integration Techniques
Integration by Substitution
Integrals
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