Find the following integral. \int \sqrt{x}(x^{3}+\frac{x}{2})dx

facas9 2021-01-13 Answered
Find the following integral.
x(x3+x2)dx
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Expert Answer

Raheem Donnelly
Answered 2021-01-14 Author has 75 answers
Given that
x(x3+x2)dx
=(x3+12+x12x2)dx
=(x72+x322)dx
=x72+172+1+x32+132+12+C
=29x92+1225x52+C
=29x92+15x52+C
x(x3+x2)dx=29x92+15x52+C

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