d x 5+4 x = ^ -1 (m x 2 )+c then
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
\(\int \frac{d x}{5+4 \cos x}=\lambda \tan ^{-1}\left(m \tan \frac{x}{2}\right)+c\) then
- \(\lambda=\frac{2}{3}\)
- m =
- \(\lambda=\frac{1}{3}\)
- \(\mathrm{m}=\frac{2}{3}\)
Answer
(A) = 2 3, (B) m =
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If I = x^ 2 + a ^ 2 x^ 4 - a ^ 2 x^ 2 + a ^ 4 ~d x then I =
- Let f(x)= array ll _ 0 ^ x 5+|1-y| d y & if x>2 5 x+1 & if x 2 array . Then
- The area of the closed figure bounded by the curves y= x ; y=1+ 2 x x= 2 is
- _ 0 ^ 1 / 3 d x (2 x^ 2 +1 ) x^ 2 +1 =
- (1+x) x (x^ 2 +2 x ) ^ 2 x-(1+x) 2 x d x = 1 2 _ e | t+1 t-1 |+c where t is
- For each positive integer n, define f_ n (x)= Min ( x^ n n! , (1-x)^ n n! ) for 0 x 1 . Let I_ n = _ 0 ^ 1 f_…
- Using integral _ 0 ^ / 2 ( x) d x =- _ 0 ^ / 2 ( x) d x=- 2 2 _ 0 ^ / 2 ( x) d x=0 and _ 0 ^ / 4 (1+ x) d x=…
- If I= ( 2 ) d then I equals
More Integral Calculus questions · Browse all practice questions