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Steps to solve an indefinite integral?
Explain how to solve the following indefinite integral:
x^3(10-x^4)^7 dx
Steps and explanations would be appreciated.
Also, is an indefinite integral an antiderivate... aka are they the same thing?
3 Answers
- Anonymous1 decade agoFavorite Answer
u = 10 - x^4
du = -4x^3 dx so x^3 dx = (-1/4) du
Substitute and integrate...easy.
- Anonymous1 decade ago
yes they are the same thing an integral is an antiderivative
use a u-substitution
u = 10 - x^4
du = -4x^3 dx so x^3 dx = (-1/4) du
now you have the integral of xdx which becomes 1/2 u^2 +c and plug in the u(10-x^4)
- 5 years ago
it fairly is a u-substitution issue, with x^4+2 being the u. This leaves 4x^3 as your du, and because x^3 is already interior the equation i might in basic terms pull out the 4 leaving a million/4 cases the imperative of cos(u) du. If i'm no longer incorrect, the respond might desire to be a million/4*sin(x^4+2).
