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Let for . What is…
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Let
P
(
x
)
=
x
2
∫
2
x
x
2
(
3
t
2
+
1
)
d
t
P(x)=x^{2}\displaystyle\int_{2x}^{x^{2}} \bigl(3t^{2}+1\bigr)\,dt
P
(
x
)
=
x
2
∫
2
x
x
2
(
3
t
2
+
1
)
d
t
for
x
>
0
x>0
x
>
0
. What is
P
′
(
1
)
P'(1)
P
′
(
1
)
? (a)
34
34
34
(b)
−
34
-34
−
34
(c)
−
18
-18
−
18
(d)
−
16
-16
−
16
Related theory
Differentiation Rules
Accumulation Concepts
Fundamental theorem of calculus
First fundamental theorem of calculus
Integrals
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