If m is a non-zero number and x^ 5 m-1 +2 x^ 4 m-1 (x^ 2 m +x^ m +1 )^ 3 d x=f(x)+c then…

Mathematics · JEE Main · NTA Exams — Integral Calculus

1. \[\frac{x^{5 m}}{2 m\left(x^{2 m}+x^{m}+1\right)^{2}}\]
2. \[\frac{x^{4 m}}{2 m\left(x^{2 m}+x^{m}+1\right)^{2}}\]
3. \[\frac{2 \mathrm{~m}\left(\mathrm{x}^{5 \mathrm{~m}}+\mathrm{x}^{4 \mathrm{~m}}\right)}{\left(\mathrm{x}^{2 \mathrm{~m}}+\mathrm{x}^{\mathrm{m}}+1\right)^{2}}\]
4. \[\frac{\left(x^{5 \mathrm{~m}}-x^{4 \mathrm{~m}}\right)}{2 \mathrm{~m}\left(x^{2 \mathrm{~m}}+x^{\mathrm{m}}+1\right)^{2}}\]

Answer

(B) x^ 4 m 2 m (x^ 2 m +x^ m +1 )^ 2

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• Statement - 1: _ 0 ^ ^ 2 x ^ -1 t d t+ _ 0 ^ cas ^ 2 x ^ -1 t d t= 4 for all x. Statement - 2: d d x _ ^ (x)…
• ^ -1 x (1-x^ 2 )^ 3 / 2 d x is equal to
• If . |_ n = _ 0 ^ / 4 ^ n x ^ 2 x d x, then . |_ 1 , . |_ 2 , . |_ 3 are in
• If f(y)=e^ y . g(y)=y: y>0 F(t)= _ 0 ^ t f(t-y) g(y) d y , then
• The area of the region bounded by the curves y = |x–1| and y = 3 – |x| is
• Let f:[0, ) R and F(x)= _ 0 ^ x f(t) d t . If F [ x ^ 2 ]= x ^ 2 [1+ x ] , then f(4) equals
• _ 0 ^ 2 x- x 1+ x x d x is equal to
• I_ 1 = _ 0 ^ / 4 ^ 3 x d x and I_ 2 = _ 0 ^ / 4 ^ 5 x d x I_ 3 = _ 0 ^ / 4 ^ 1 / 2 x d x and I_ 4 = _ 0 ^ / 4…

More Integral Calculus questions · Browse all practice questions