∫ sin^4(x)cos^3(x)dx

来源：学生作业帮助网编辑：作业帮时间：2024/04/28 21:28:06

∫ sin^4(x)cos^3(x)dx
∫ sin^4(x)cos^3(x)dx

∫ sin^4(x)cos^3(x)dx
∫ sin^4(x)cos^3(x)dx
= ∫ sin^4(x) cos^2 (x) cosx dx
= ∫ sin^4(x) * [1 - sin^2(x)] d(sinx)
= ∫ sin^4(x) d(sinx) - ∫ sin^6(x) d(sinx)
= (1/5)*sin^5(x) - (1/7) sin^7 (x) + 常数

∫cos^4x/sin^3x dx=? ∫sin(3x)cos(4x)dx= ∫ sin^4(x)cos^3(x)dx ∫sin(x) cos^2(x)dx 求∫1/(sin^4x+cos^4x)dx, ∫dx/(sin^4 x)(cos^4 x) ∫dx/cos^2X+4sin^2X 求微积分 ∫sin^2(x)cos^4(x) dx ∫[1/(sin^2(x)cos^4(x)]dx 求解∫1/(cos^4(x)sin^2(x))dx 求不定积分：∫(sin x/cos^3 x)dx ∫(cos^3x/sin^2x)dx 求不定积分：∫(sin x/cos^3 x)dx ∫ [cos^3(x)]/[sin^2 (x)]dx ∫sin^3(x)cos^2(x)dx= 求积分：∫sin^2 (x) /cos^3 (x) dx ∫(1-sin/x+cos)dx不定积分 d/dx sin^8(cos(4x))