Question

Find the most general antiderivative of the function. Use C for the constant of the antiderivative.

Answer 1

\[f(x)=9\sqrt{x}+4\cos x\]

Answer 2

sqrt x = x^1/2
use power rule to find anti derivative
\[\int\limits x^{n} = \frac{x^{n+1}}{n+1}\]

antiderivative of cos x is sin x

Answer 3

im getting 6^3/2 -sinx

Answer 4

does this sound correct?

Answer 5

first part is...but you dropped the 4 with the sin x
\[\int\limits 4\cos x = 4\sin x\]

Answer 6

got it so it would be 6^3/2-4sinx that makes sense

Answer 7

why is it minus 4sin x ?

Answer 8

for some reason i thought the antideriv of cos was (-sin) is is positive sin right?

Answer 9

f(x) ---> f'(x)
sin cos
cos -sin

so antiderivative of cos is positive sin

Answer 10

thank you very much for your time and effort

Answer 11

yw