Homework SourseShow all appropriate steps for aEvaluate definite integralx2
Show all appropriate steps for:
a)Evaluate definite integral(x^(-2)-e^(x) -1/9)dx
b)Find f(x) if f(-1)=1 and the tangent line at (x,f(x)) has slope 2e^(x) +1
Evaluate definite integral[2,4] x+1/x dx using the fundamental theorem of calculus
a)Evaluate definite integral(x^(-2)-e^(x) -1/9)dx
b)Find f(x) if f(-1)=1 and the tangent line at (x,f(x)) has slope 2e^(x) +1
Evaluate definite integral[2,4] x+1/x dx using the fundamental theorem of calculus
Solution
a) = -0.5*x^(-2) -e^(x) -x/9 b)tangent of the line is the derivative , so if we find the integration of the willl can get f(x) integration of 2e^(x) +1 = 2e^(x) +x+constant =f(x) at x=-1 2/e-1+const =1 const=2-2/e 2e^(x) +x+2-2/e =f(x)
