For any natural number 'm', evaluate (x^ 3 m +x^ 2 m +x^ m ) (2 x^ 2 m +3 x^ m +6 )^ 1 m…

1. \(\frac{1}{6(m+1)}\left\{2 x^{3 m}+3 x^{2 m}+6 x^{m}\right\}^{m+1}+c\)
2. \(\frac{1}{6(m+1)}\left(2 x^{3 m}+3 x^{2 m}+6 x^{m}\right)^{\frac{m+1}{m}}+c\)
3. \(\frac{1}{2(m+1)}\left\{2 x^{3 m}+3 x^{2 m}+6 x^{m}\right\}^{m-1}+c\)
4. None of these

Answer

(B) 1 6(m+1) (2 x^ 3 m +3 x^ 2 m +6 x^ m )^ m+1 m +c

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

Related practice questions

• e^ x ( 1+ x 1+ x ) d x is equal to
• The integral _ 4 ^ 3 4 d x 1+ x is equal to
• If a_ n = _ / 4 ^ / 2 ^ n x d x then a_ 2 +a_ 4 , a_ 3 +a_ 5 , a_ 4 +a_ 6 are in
• The area (in square units) bounded by the curves y= x , 2 y-x+3=0, x-axis and lying in the first quadrant is
• Let f(x)= _ a ^ x g(t) d t , where g is a non-zero even function. If f(x+5)=g(x) , then _ a ^ f(t) d t equals
• [x^ 4 -x ]^ 1 / 4 x^ 5 dx is equal to
• The area of the region bounded by the curve y= 1- x between x=0 and x= is :
• Evaluate _ 1 ^ 1 x^ 2 d x .

More Integral Calculus questions · Browse all practice questions