Question Number 101409 by PRITHWISH SEN 2 last updated on 02/Jul/20

which is correct ∫((5x^4 +4x^5 )/((x^5 +x+1)^2 )) dx is equal to a) (x^5 /(x^5 +x+1)) b)−((x+1)/(x^5 +x+1))

Commented byDwaipayan Shikari last updated on 02/Jul/20

∫((5x^4 +4x^5 )/((x^5 +x+1)^2 ))=∫(((5/x^6 )+(4/x^5 ))/((1+(1/x^4 )+(1/x^5 ))^2 ))=−1∫((−1((5/x^6 )+(4/x^5 )))/((1+(1/x^4 )+(1/x^5 ))^2 ))=(1/((1+(1/x^4 )+(1/x^5 ))))+C =(x^5 /(x^5 +x+1))+C No option is correct because there is Constant Option a,b Or both correct