Let l_ n = ^ n x d x,(n>1) . If l_ 4 +l_ 6 =a ^ 5 x+b x^ 5 +c , where C is a constant of…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Let \(l_{n}=\int \tan ^{n} x d x,(n>1)\). If \(l_{4}+l_{6}=a \tan ^{5} x+b x^{5}+c\), where C is a constant of integration, then the ordered pair (a, b) is equal to
- \(\left(\frac{1}{5}, 0\right)\)
- \(\left(\frac{1}{5},-1\right)\)
- \(\left(-\frac{1}{5}, 0\right)\)
- \(\left(-\frac{1}{5}, 1\right)\)
Answer
(A) ( 1 5 , 0 )
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- 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
- _ 6 ^ 3 d x 1+ x is equal to
- The integral _ 2 ^ 4 x^ 2 x^ 2 + (36-12 x+x^ 2 ) d x is equal to:
- 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
- If _ 1 ^ 2 d x (x^ 2 -2 x+4 )^ 3 2 = k k+5 , then k is equal to:
- If f (x) is differentiable and _ 0 ^ t^ 2 x f(x) d x= 2 5 t^ 5 , then f ( 4 25 ) is equal to
- If ^ 4 x x d x= 1 2 _ ( 1+ x 1- x )-g(x)+c where g(x) equals.
- The integral _ 0 ^ 1 2 (1+2 x) 1+4 x^ 2 d x equals:
More Integral Calculus questions · Browse all practice questions