Basic Properties of Definite Integrals

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Questions

• What are five basic properties of definite integrals?
• What is the integral of an integral?
• What is the integral of a quotient?
• How do I evaluate #int_0^5(2 e^x + 5cos(x)) dx#?
• Why can't you integrate #sqrt(1+(cosx/-sinx)^2#?
• What are the different strategies of integration?
• What is the integral from 0 to 4 of lnx dx?
• How do you find the integral of 0 to the infinity of #x^(8/3) dx#?
• How do you evaluate the integral of #(ln x)^2 dx#?
• How do you find the integral of #abs(x) dx# on the interval [-2, 1]?
• Given f(x)=∫ (t^2−1)/(1+cos^2(t))dt At what value of x does the local max of f(x) occur ? (a=0 and b =x)
• How do you use the properties of integrals to verify the inequality #intsinx/x# from pi/4 to pi/2 is less than or equal to #sqrt(2)/2#?
• Question #0228a
• Question #739a4
• #int x^2 arcsin(x)dx = # ?
• Question #db6c4
• How do I evaluate #int_0^oo e^-x/sqrtxdx#?