If primitive of sin (log x) is f (x) (sin (g(x)) – cos (h(x)) + c then

Mathematics · JEE Advanced · NTA Exams — Integral Calculus

1. \(\lim _{x \rightarrow 2} f(x)=1\)
2. \(\lim _{x \rightarrow 1} \frac{g(x)}{h(x)}=1\)
3. g (e³) = 3
4. h (e⁵) = 5

Answer

(A) _ x 2 f(x)=1, (B) _ x 1 g(x) h(x) =1, (C) g (e 3 ) = 3, (D) h (e 5 ) = 5

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

Related practice questions

• Statement-I : The value of the integral _ / 6 ^ / 3 d x 1+ x is equal to π/6. Statement-II : _ a ^ b f(x) d…
• If f(t)= array ll at -1 & t so that _ 0 ^ x f(x) d x is differentiable for all x 0 is
• Consider the equation _ 1 ^ e ( _ e x )^ 1 / 2 x (a- ( _ e x )^ 3 / 2 )^ 2 d x=1, a (- , 0) (1, ) . Which of…
• The ratio in which the curve y=x^ 2 divides the region bounded by the curve; y= ( x 2 ) & the x- axis as…
• If f(x)= array ll e^ x x, & for |x| 2 2, & otherwise array . then _ -2 ^ 3 f(x) d x
• If y= x^ 2 -x+1 and for n > 1, I_ n = x^ n / y d x and aI 3 + bI 2 + cI 1 = x 2 y, then (a, b, c) is equal to
• If f(x)= x x [0, 2 ], f(x)+f( -x)= 2 x ( 2 , ] and f(x)=f(2 -x) x ( , 2 ] , then the area enclosed by y=f(x)…
• _ 0 ^ x (1+x) (1+x^ 2 ) d x

More Integral Calculus questions · Browse all practice questions