Using the concept of integration evaluate an area by definite integral

Area as a definite integral

By using the properties of definite integrals, evaluate the integrals int_(2)^(8)abs(x-5)dx

By using the properties of definite integrals, evaluate the integrals int_(-5)^(5)abs(x+2)dx

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

By using the properties of definite integrals, evaluate the integrals int_(2)^(8)abs(x-5)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^(2pi)cos^(5)xdx

By using the properties of definite integrals, evaluate the integrals int_(0)^(4)abs(x-1)dx

By using the properties of definite integrals, evaluate the integral: int_0^(pi/2) (sqrt sinx)/(sqrtsinx+sqrtcosx)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi)(1+cos x) dx