(2x²-3 x+5{x})dx - NCERT Class XII Mathematics Chapter -

NCERT Class XII Mathematics Chapter - - Solutions

Find the following integrals in Exercises 6 to 20.

Question : 17 of 271

Marks: +1, -0

\int(2x^2-3\sin x+5\sqrt{x})dx

Solution:

Let

I=\int(2x^2-3\sin x+5\sqrt{x})dx

=2\left(\frac{x^3}{3}\right)-3(-\cos x)+5\left(\frac{x^{3/2}}{3/2}\right)+C

=\frac{2}{3}x^3+3\cos x+\frac{10}{3}x^{3/2}+C

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