{x} (3x²+2x+3) dx - NCERT Class XII Mathematics Chapter -

NCERT Class XII Mathematics Chapter - - Solutions

Find the following integrals in Exercises 6 to 20.

Question : 15 of 271

Marks: +1, -0

\int \sqrt{x} (3x^2+2x+3) dx

Solution:

Let

I=\int \sqrt{x} (3x^2+2x+3) dx

=\int (3x^{5/2}+2x^{3/2}+3x^{1/2}) dx

=\frac{3x^{7/2}}{\frac{7}{2}}+\frac{2x^{5/2}}{\frac{5}{2}}+\frac{3x^{3/2}}{\frac{3}{2}}+C

=\frac{6}{7}x^{7/2}+\frac{4}{5}x^{5/2}+2x^{3/2}+C

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