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Define . Calculate…
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Define
F
(
x
)
=
∫
2
x
2
sin
t
d
t
F(x)=\displaystyle \int_{2}^{x^{2}} \sin t\,dt
F
(
x
)
=
∫
2
x
2
sin
t
d
t
. Calculate
F
′
(
π
2
)
F'\!\left(\tfrac{\pi}{2}\right)
F
′
(
2
π
)
.
Related theory
Advanced Differentiation
Accumulation Concepts
Fundamental theorem of calculus
First fundamental theorem of calculus
Integrals
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