Thread: antiderivatives?

i'm having problems with the more complex antiderivatives problems. help?

a) x(-2+x^6) dx
b) ((-4x^3+5x^12)/(x^-2)) dx
c) (3+x^8)^2 dx
d) -9e^x dx
e) x^-5 sqrt(x) dx
f) ((1/u^(5/4)+5sqrt(u)) du
g) 1/4x^5 dx

Hello

Originally Posted by keemariee

i'm having problems with the more complex antiderivatives problems. help?

a) x(-2+x^6) dx

Develop

b) ((-4x^3+5x^12)/(x^-2)) dx

Note that , then develop

c) (3+x^8)^2 dx

Develop

d) -9e^x dx

This may not be a problem..

e) x^-5 sqrt(x) dx

-->

f) ((1/u^(5/4)+5sqrt(u)) du

g) 1/4x^5 dx

The formula to know is that an antiderivative of is