Evaluate ∫ 1 - x \sqrtx dx

CBSE Class 12 Math 2012 Solved Paper - Question 1

Question : 1 of 29

Marks: +1, -0

Evaluate ∫ 1 - x

√x

Solution:

∫ 1 - x

√x

dx
= ∫

(√x-x^{3/2})

dx
= ∫

(x^{1/2}-x^{3/2})

dx
=

x^{3/2}/{3/2}

x^{5/2}/{5/2}

+ c
=

2/3 x^{3/2}-2/3 x^{5/2}

+ c

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