(1-x){x}dx - NCERT Class XII Mathematics Chapter -

NCERT Class XII Mathematics Chapter - - Solutions

Find the following integrals in Exercises 6 to 20.

Question : 14 of 271

Marks: +1, -0

\int(1-x)\sqrt{x}dx

Solution:

Let

I=\int(1-x)\sqrt{x}dx

=\int(x^{1/2}-x^{3/2})dx

=\frac{x^{3/2}}{3/2}-\frac{x^{5/2}}{5/2}+C

=\frac{2}{3}x^{3/2}-\frac{2}{5}x^{5/2}+C

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