MIT 18.01 Single Variable Calculus (OCW) 22 Online
OpenStudy (anonymous):

how guys, can someone show me how to integrate xcos(x^2+1) if possible?

OpenStudy (anonymous):

Use a substitution: Is there part of the integral that can be tweaked into being the derivative of another part? For instance, look at the inside portion of the cosine: $x^2+1$Notice how the derivative of that would be 2x? That's almost exactly what you see in the part of the equation before the cosine...so the suggestion is to rewrite the integral with the substitution of $u=x^2+1, du=2x dx$ It should then become an elementary integration of cosine.

OpenStudy (anonymous):

Go here http://www.wolframalpha.com/input/?i=integrate+xcos%28x^2%2B1%29 and click "show steps"

OpenStudy (anonymous):

put t=x^2 +1;dt/dx=2x;Integral=$\int\limits_{?}^{?}(1/2)\cos(t)dt=(1/2)sint=(1/2)\sin(x^2+1)$

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
L8RVAL: Can anyone solve this problem for me? x + 142 = 16x + 7
11 hours ago 20 Replies 3 Medals
Sprite868: how to change profile pic PLZ HELP!!!!!!
7 hours ago 15 Replies 1 Medal
Sprite868: what is the biggest color that exists?
12 hours ago 7 Replies 1 Medal
DeadlyDiablo: Story Time!! Again, what y'all think?
11 hours ago 2 Replies 1 Medal
DeadlyDiablo: Story Time!!!! What y'all think?
12 hours ago 18 Replies 5 Medals
balencichronicals: https://www.secretmsg.link/secret/6647b7c9a865c/ dont be weird .
14 hours ago 0 Replies 0 Medals
Ash2746: How to deal with a friend who is pregnant?
14 hours ago 27 Replies 3 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!