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NCERT Class XII Mathematics Chapter - - Solutions

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Exercise - 7.2
Integrate the functions in Exercises 23 to 59.
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Question : 28 of 271
Marks: +1, -0
ax+b\sqrt{ax+b}
Solution:  
Let I=∫ax+b dxI=\int\sqrt{ax+b}\,dx =∫(ax+b)1/2dx=\int (ax+b)^{1/2}dx
=(ax+b)3/23/2a+C=\frac{(ax+b)^{3/2}}{3/2a}+C
=23a(ax+b)3/2+C=\frac{2}{3a}(ax+b)^{3/2}+C
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