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MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
For
F
(
x
)
=
∫
1
x
e
t
2
d
t
,
F(x)=\displaystyle \int_{1}^{x} e^{t^{2}}\,dt,
F
(
x
)
=
∫
1
x
e
t
2
d
t
,
determine
F
′
(
x
)
.
F'(x).
F
′
(
x
)
.
(a)
2
x
e
x
2
2x e^{x^{2}}
2
x
e
x
2
(b)
e
x
2
−
e
e^{x^{2}}-e
e
x
2
−
e
(c)
e
x
2
e^{x^{2}}
e
x
2
(d)
e
x
e^{x}
e
x
Related theory
Accumulation Concepts
Fundamental theorem of calculus
Integrals
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