Question

Question #86163

Answer 1

1) start by rewriting f(x)= `5*sqrt(x)+8*cosx`
to f(x)= `5*x^(1/2)+8*cosx`
2) now use properties of antiderivatives to solve for F(x)
F(x)= `(5*x^(3/2))/(3/2)+8sinx`
3)simplify F(x)= `(10*x^(3/2))/(3)+8sinx`
4)if your teacher wants in radical form then
F(x)= `(10*sqrt(x^3))/(3)+8sinx`
5) to check your answer you can take the derivatve of F(x) which should give you your original function.

Many calculus questions require that you rewrite a given function in order to apply the rules you learned in class.