Question

Evaluate 0 $(x+2)/x -3x Nx-3dx

JEE/Engineering Exams

Maths

Solution

124

4.0 (1 ratings)

( int(x+2) sqrt{x-3} d x-10 ) ( x sqrt{x-3}=x ) ( x-3=x^{2} ) ( x=x^{2}+3 Rightarrow d x=2 t d t ) ( left(left(t^{2}+3+2right) t cdot 2+d tright. ) ( intleft(x^{2}+5right)^{2} t^{2} d t ) ( =left(frac{2 t^{5}}{5}+frac{10 t^{3}}{3}right) )