The Fundamental Theorem of Calculus - Page 6

Questions
  • How do you evaluate the integral #int_0^1x^2dx# ?
  • How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #y = int(sqrt(2t+sqrt(t))dt)# from 2 to tanx?
  • How do you use the second fundamental theorem of Calculus to find the derivative of given #int tan(t^4)-1) dt# from #[1, x^3]#?
  • How do you use the second fundamental theorem of Calculus to find the derivative of given #int sin^3(2t-1) dt# from #[x-1, x]#?
  • How do you find the derivative of #G(x)=int (tan(t^2))dt# from #[1,x^2]#?
  • How do you use the second fundamental theorem of Calculus to find the derivative of given #int (cos(t^3))# from #[cosx, 7x]#?
  • How do you use the second fundamental theorem of Calculus to find the derivative of given #int cos 2t dt# from x to pi/4?
  • How do you use the second fundamental theorem of Calculus to find the derivative of given #int (t^3-2t+6) dt # from #[-2, x^2]#?
  • How do you use the fundamental theorem of calculus to find F'(x) given #F(x)=int t^2sqrt(1-t^3)dt# from [0,x]?
  • How do you integrate #int_1^eln(x)/xdx#?
  • How do you use part 1 of the Fundamental Theorem of Calculus to find the derivative of #y=int(sqrtt sintdt)# from #[x^3, sqrtx]#?
  • How do you find the derivative of integral of #x^2*sin(t^2)dt# from 0 to x?
  • How do you use part 1 of the fundamental theorem of calculus to find f ' (4) for #f(x) = int sqrt ((t^2)+3) dt# from 1 to x?
  • How do you use the Fundamental Theorem of Calculus to find the derivative of #f(x)=int_1^(x)sqrt(e^t+sin(t))dt# ?
  • How do you use Part 1 of the fundamental theorem of calculus to find the derivative of the function #y= int (1+v^2)^10 dv# from sinx to cosx? Please help have been looking at problem for a hour can't figure out how to work it?
  • How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #h(x) = int arctan t dt# from [2,1/x]?
  • How do you use part I of the Fundamental Theorem of Calculus to find the derivative of #h(x) = int (cos(t^4) + t) dt# from -4 to sinx? Can someone walk me through this? I'm having a lot of issues getting a grasp on how to do this.?
  • How do you find the derivative of #G(x)=int (t^2-3t)dt# from #[1,pi]#?
  • How do you use the Fundamental Theorem of Calculus to find the derivative of #int sqrt(1+ sec(t)) dt# from x to pi?
  • How do you find the derivative of #y= int 6*(sin(t))^2 dt# from a=e^x to b=1?