[" 23.Find ",int(0)^(2)x sqrt((2-x))dx]...

[" 23.Find ",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)^(a)sqrt(a^(2)-x^(2))dx=

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

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

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

int_(0)^(sqrt(2))[x^(2)]dx

Evaluate int_(0)^(2) sqrt(4-x^(2))dx

Find int_0^a sqrt(a^2-x^2)dx

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