Ask
your own question, for FREE!
MIT 18.01 Single Variable Calculus (OCW)
10 Online
how guys, can someone show me how to integrate xcos(x^2+1) if possible?
Still Need Help?
Join the QuestionCove community and study together with friends!
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.
Go here http://www.wolframalpha.com/input/?i=integrate+xcos%28x^2%2B1%29 and click "show steps"
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!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
laylasnii13:
Poem/diary i wrote I Want Out Iu2019m so tired of screaming into walls. Every fight with my mom leaves something broken and itu2019s not just plates or slam
Countless7Echos:
Aye.. I need actually some help on the shading here.. if the light is from above too I just feel something is off.
Countless7Echos:
I don't know just no sketch doodle day :p finished a video already so I'm pretty
3 hours ago
12 Replies
3 Medals
1 day ago
19 Replies
3 Medals
3 days ago
9 Replies
2 Medals