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" 13."int((-pi)/(2))^((pi)/(2))sin^(7)xd...

" 13."int_((-pi)/(2))^((pi)/(2))sin^(7)xdx

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int_(-(pi)/(2))^((pi)/(2))sin^(7)xdx=0

By using the properties of definite integrals, evaluate the integrals int_((-pi)/(2))^((pi)/(2))sin^(7)xdx

By using the properties of definite integrals, evaluate the integrals int_((-pi)/(2))^((pi)/(2))sin^(7)xdx

Examples: int_(-(pi)/(2))^((pi)/(2))sin^(2)xdx

Evaluate int_(-(pi)/(2))^((pi)/(2))sin^(5)xdx

int_(-(pi)/(2))^(pi/2)x sin^(2)xdx

int_(0)^((pi)/(2))sin^(2)xdx

int_((-pi)/(4))^((pi)/(2))e^(-x)sin xdx=

int_(0)^((pi)/(2))sin^(3)xdx

By using the properties of definite integrals, evaluate the integrals int_((-pi)/2)^(pi/2)sin^(7)xdx