Question

The integral $\int\frac{2x^{12}+5x^{9}}{(x^{5}+x^{3}+1)^{3}}dx$ is equal to :
(a) $\frac{x^{5}}{2(x^{5}+x^{3}+1)^{2}}+C$
(b) $\frac{-x^{10}}{2(x^{5}+x^{3}+1)^{2}}+C$
(c) $\frac{-x^{5}}{(x^{5}+x^{3}+1)^{2}}+C$
(d) $\frac{x^{10}}{2(x^{5}+x^{3}+1)^{2}}+C$

Answer 1

Option A is correct option

(a) $\frac{x^{5}}{2(x^{5}+x^{3}+1)^{2}}+C$

Hope it helps u

Answer 2

The integral $\int\frac{2x^{12}+5x^{9}}{(x^{5}+x^{3}+1)^{3}}dx$ is equal to :

(a) $\frac{x^{5}}{2(x^{5}+x^{3}+1)^{2}}+C$✔

(b) $\frac{-x^{10}}{2(x^{5}+x^{3}+1)^{2}}+C$

(c) $\frac{-x^{5}}{(x^{5}+x^{3}+1)^{2}}+C$

(d) $\frac{x^{10}}{2(x^{5}+x^{3}+1)^{2}}+C$