Find the most general antiderivative of the function.
Favorites|Homepage
Subscriptions | sitemap
HOME > > Find the most general antiderivative of the function.

Find the most general antiderivative of the function.

[From: ] [author: ] [Date: 12-04-24] [Hit: ]
which can also be written as 4x^½ . This integrates to (8/3)x^3/2.Then you would integrate the 3cosx, which integrates to 3sinx.Then you would add a constant, C.......
f(x) = 4 radical x+ 3 cos x

Please help this stuff is really giving me a hard time!!

-
Taking the anti-derivative would mean taking the indefinite integral of the function.

f(x) = 4√x + 3cosx

You would first integrate the 4√x , which can also be written as 4x^½ . This integrates to (8/3)x^3/2.

Then you would integrate the 3cosx, which integrates to 3sinx.

Then you would add a constant, C.

So the final answer would be:
∫ f(x) = (8/3)x^3/2 + 3sinx + C.

If you need more help, type in your equation (or almost anything else really) into the search bar of http://www.wolframalpha.com/ - it comes up with the solution with explanations and graphs and all that good stuff :)
1
keywords: general,function,the,most,antiderivative,of,Find,Find the most general antiderivative of the function.
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .