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Let . (a) Obtain the value of . (b) Differentiate your answer with respect to to…
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Let
I
=
∫
x
4
e
x
d
x
I=\displaystyle \int x^{4} e^{x}\,dx
I
=
∫
x
4
e
x
d
x
. (a) Obtain the value of
I
I
I
. (b) Differentiate your answer with respect to
x
x
x
to verify that it yields
x
4
e
x
x^{4} e^{x}
x
4
e
x
.
Related theory
Integration by Parts
Integration Techniques
Integrals
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