Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202016 Oct 2020Evening ShiftMathematicsDefinite IntegrationActual

_ 5 ^ 3 10 [ x x+ x ] d x=

Options

  1. A2
  2. B3 10
  3. C5
  4. D20

Correct answer

D. 20

Step-by-step solution

(C) array l _ 5 ^ 3 10 [ x x+ x ] d x...(1) = _ 5 ^ 3 10 [ ( 3 10 + 5 -x )+ ( 3 10 + 5 -x ) ( 3 10 + 5 -x ) ] d x= _ 5 ¹⁰ 3 ( 2 -x )+ ( 2 -x ) ( 2 -x ) = _ 5 ^ 3 10 x+ x d x...(2) array Equation (1) + (2) gives aligned 2 I &= _ 5 ^ 3 10 d x=[x]_ 5 ^ 3 10 = ( 3 10 - 5 )= 10 I &= 20 aligned

Practice Definite Integration on Quantrex Academy →

More from Definite Integration

₀^1 2 x+5 x^2+3 x+2 ~d x= 2025₀^1 x^ 5 / 2 (1-x)^ 3 / 2 ~d x= 2025_ n [ 1 n^2 ^2 1 n^2 + 2 n^2 ^2 4 n^2 + 3 n^2 ^2 9 n^2 + + 1 n^2 ^2 1 ]= 2025₀^1 x Sin ⁻¹ x d x= 2025_ - 2 ^ 2 (x-[x]) d x= 2025₀^2 x^2(2-x)^5 d x= 2025If f(x)= Max x^3-4, x^4-4 , and g(x)= Min x^2, x^3 , then _ -1 ^1(f(x)-g(x)) d x= 2025_ n 2 n [ 2 n + 2 2 n + 3 2 n + + 2 ]= 2025 Full Definite Integration list All MHT CET PYQs