Help me to solve these integrals?
I am asked to solve this integral using integral by parts, the question is:
1. the integral of (arctany) dy
2. the integral of (y/(square root of (5-y))) dy
3. the integral of (x^3e^x2)dx
please help me guys..
2007-01-17 05:57:23 · 2 answers · asked by Anonymous in Education & Reference ➔ Homework Help
You can find the antiderivative of almost anything (the final answer, as opposed to the work to get there) at http://integrals.wolfram.com . You should be able to use your notes from Calc class to get started, and then work toward that final answer.
2007-01-19 04:05:34 · answer #1 · answered by dmb 5 · 0⤊ 1⤋
exchange 6x^2 as t. Your essential looks like ? 4xe^t dx On differentiating t=6x^2 you will get dt = 12x dx dx = dt / 12x exchange this and your essential looks like ? a million/3 e^t dt The a million/3 is a relentless take it out of the essential sign a million/3 ? e^t dt you recognize that ? e^x dx = e^x + c (the place c is an arbitrary consistent) a million/3 ? e^t dt = a million/3 e^t + c Re-substituting t a million/3 e^(6x^2) + c
2016-12-16 06:55:06 · answer #2 · answered by Anonymous · 0⤊ 0⤋