Ask
your own question, for FREE!
MIT 18.01 Single Variable Calculus (OCW)
37 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
forgetmylife:
Only the real understand ud83eudd26ud83cudffdu2642ufe0f I'm tired. Tired of the constancy, the constancy of judgment.
rishavraj:
Just trying to find a friend. We met on openstudy, her nickname on there was something "tarantula".
Subshilava:
Which sentence follows correct grammatical conventions? ) u2022 The crow in that bush squawk loudly at the hawks.
9 hours ago
2 Replies
1 Medal
42 minutes ago
4 Replies
0 Medals
1 day ago
4 Replies
3 Medals