find the derivative
and help with this one... f(t)= e^7t * In (t+4)
find the derivative
3 In (√x + 7)
Integration by parts
integrate (e^x-x)^2 dx
Calculus
Thank you!
Calculus
help! ∫((ln x^2)/x)) dx u= ln x^2 du= 2 ln x dx (?) Not sure how to set this one up?
integration (calculus)
got it figured out.
integration (calculus)
Find the indefinite integral. ∫((e^-x-1)/(e^-x + x)^2) dx I am trying to use the substitution method. u=e^-x + x du= -e^-x+1 dx Right so far?
U-substitution (calculus)
this is an example from the book. I do not understand where the 1/2 comes from in (1/2u)du. Find indefinite integral. ((.3x-.2)/(.3x^2-.4x+2))dx u=.3x^2-.4x+1 du= 2(.3x+.2)dx 1/2u(du)= 1/2 In u + c 1/2 In(.3x^2-.4x+2) + c
Calculus
Am I right so far? G(x)=e^x sqrt(1+x^2) =e^x(1+x^2)^1/2 =e^x(1/2)(1+x^2)^-1/2(2x) + e^x(1+x^2)^1/2 So I used product rule, chain rule, and exponential function with base e
Implicit (calculus)
Can someone explain implicit differentiation to me like I am a kindergarten? I am not getting it. Any hints to help me understand better?
For Further Reading
