Question

Chapter: Integration by Parts
Standard: 12

Answer:
$\frac{1}{3}( {x}^{3} - 1) {e}^{ {x}^{3} } + c$

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Answer 1

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Answer:-
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Given,

∫e^x^3 . x^5 . dx

=∫ 1/3 e^z . z. dz

【Lets, x^3=z ,

Then, 3x^3.dx=dz】

=1/3{(ze^2- ∫e^z.dz)}+c

=1/3{(ze^z-c^z)}+c

=1/3{(x^3 . c^x^3-ex^3)}+c

=1/3{ (x^3-1) e^x^3 }+c 【Answer】

Hope My Answer Helped.
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