Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202019 Oct 2020Morning ShiftMathematicsIndefinite IntegrationActual

If f^ (x)=k( x- x), f^ (0)=3, f ( 2 )=15 , then f(x)=

Options

  1. A3( x+ x)+12
  2. B3( x+ x)-12
  3. C-3( x+ x)-12
  4. D12( x+ x)+3

Correct answer

A. 3( x+ x)+12

Step-by-step solution

f^ (x)=k( x- x)f^ (0)=3 f( / 2)=15k=3 then f(x)=8 Integrate f^ (x)f(x)=k x+k x+cf(x)=3 x+3 x+cf( / 2)=15c+3=15c=12f(x)=3 x+3 x+12

Practice Indefinite Integration on Quantrex Academy →

More from Indefinite Integration

If 5 x x -2 dx = ax + b | x -2 x |+ c , then a + b = 2025x Cos ⁻¹ ( 1-x^2 1+x^2 ) d x(x>0)= 2025d x (1+ x ) x-x^2 = 2025If x x x+1 ~d x= f (x)+ k , then f ( 4 )= 2025If x^4+1 x^2+1 d x=A x^3+B x^2+C x+D Tan ⁻¹ x+E , then A+B+C+D= 2025If x^2-x+2 x^2+x+2 d x=x- (f(x))+ 2 7 Tan ⁻¹(g(x))+c , then f (-1)+ 7 ~g (-1)= 2025(x- 3 ) (x+ 6 ) d x= 2025If a x+3 x 5 x+2 x d x= 26 29 x- k 29 |5 x+2 x|+c , then |a+k|= 2025 Full Indefinite Integration list All MHT CET PYQs