Compute the given integral. Use exact values.
∫
0
1
(
4
x
3
+
9
x
2
)
e
x
4
+
3
x
3
d
x
=
\displaystyle {\int_{{0}}^{{1}}}{\left({4}{x}^{{3}}+{9}{x}^{{2}}\right)}{e}^{{{x}^{{4}}+{3}{x}^{{3}}}}{\left.{d}{x}\right.}=
∫
0
1
(
4
x
3
+
9
x
2
)
e
x
4
+
3
x
3
d
x
=
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\displaystyle
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity