d/dx定积分(0~x^2) (1+t^2)^(1/2)dt d/dx定积分(0~x^2)(x^1/2)cost^2dt

问题描述:

d/dx定积分(0~x^2) (1+t^2)^(1/2)dt d/dx定积分(0~x^2)(x^1/2)cost^2dt
请帮我解答下 感激不尽
1个回答 分类:综合 2014-12-07

问题解答:

我来补答
1、=2x(1+x^4)^(1/2)
2、=d/dx(x^1/2)*∫ (0~x^2)cost^2dt
=(1/2)x^(-1/2)*∫ (0~x^2)cost^2dt+(x^(1/2))*cos(x^4) *2x
=(1/2)x^(-1/2)*∫ (0~x^2)cost^2dt+2(x^(3/2))*cos(x^4)
 
 
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