dx/cos(a+x)cos(b+x)求不定积分如题

来源：学生作业帮助网编辑：六六作业网时间：2024/11/06 04:30:11

dx/cos(a+x)cos(b+x)求不定积分如题dx/cos(a+x)cos(b+x)求不定积分如题dx/cos(a+x)cos(b+x)求不定积分如题cosacosb=(cos(a+b)+cos

dx/cos(a+x)cos(b+x)求不定积分如题
dx/cos(a+x)cos(b+x)求不定积分
如题

dx/cos(a+x)cos(b+x)求不定积分如题
cosacosb=(cos(a+b)+cos(a-b))/2
=∫2dx/[cos(a-b)+cos(2x+a+b)]
设t=tan[x+(a+b)/2]
x=atant-(a+b)/2
dx=1/1+t^2
cos(2x+a+b)=(1-t^2)/(1+t^2)
代入后
=∫2dt/{(1+cos(a-b))+(cos(a-b)-1)*t^2}
cos(a-b)=1时候
=t=tan[x+(a+b)/2+C
cos(a-b)=-1
=1/t=ctan[x+(a+b)/2]+C
否则|cos(a-b)|0
=1/[cos(a-b)-1]∫2dt/t^2-a^2
=1/{a*[cos(a-b)-1]} * ln(t-a)/(t+a)

求不定积分∫dx/cos(x+a)*cos(x+b) ∫((a+b*cos(x))^(-0.5))dx dx/cos(a+x)cos(b+x)求不定积分如题问一道不定积分 dx/[cos(x+b)sin(x+a)] 求广义积分 ∫(0到正无穷）e^(-x)(cos ax-cos bx)/x dx ,b>a>0. 求∫dx/(a^2sin^2x+b^2cos^2x)解答 cos(x^2)dx / (cos x + 1 ) dx 求积分(cos根号下x)dx 求不定积分∫(cos^4x)dx, 求∫2/(2+cos x)dx 求不定积分：∫cos x^2 dx 求:∫cos^2(2x)dx 求不定积分 cos^3x/sinx dx ∫cos(x²)dx怎么求? 求不定积分cos^3 x dx 求不定积分 cos^2x dx 求不定积分：∫ cos(ln x) dx