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
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
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)