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9.int(0)^(2)x sqrt(2-x)dx...

9.int_(0)^(2)x sqrt(2-x)dx

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int_(0)^(2) sqrt(2-x)dx .

int_(0)^(2) sqrt(2-x)dx .

int_(0)^(2)x sqrt(2-x)dx=16(sqrt(2))/(15)

By using the properties of definite integrals, evaluate the integrals int_(0)^(2)x sqrt(2-x)dx

int_(0)^(2)x sqrt(x+2)dx

int_(0)^(2)x sqrt(x+2)*dx

Show that int_(0)^(a)x(a-x)^(n)dx=(a^(n+2))/((n+1)(n+2)) . Hence find int_(0)^(2) x sqrt(2- x )dx

int_(0)^(2)x^(2)sqrt(2-x)dx

int_(0)^(2) x sqrt(x+2) dx " (put x+2 " =t^(2)")"