Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202315 May 2023Evening ShiftMathematicsDefinite IntegrationActual

₀^ 2 ( 4 +x )+ ( 3 4 +x ) x+ x d x=

Options

  1. A2
  2. B2 2
  3. C3 2
  4. D4 2

Correct answer

B. 2 2

Step-by-step solution

aligned & (b) Let I - ( 4 +x ) ( 4 +x ) x x d x & I= 12 ( 3 4 -x ) ( 5 4 -x ) x x d x & I= ₀^ / 2 ( 4 +x )- ( 3 4 +x ) x+ x d x & Now I+I= ₀^ / 2 2 ( 4 +x ) x+ x d x & I= ₀^ / 2 1 2 x+ 1 2 x x- x d x= 2 2 & 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 AP EAMCET PYQs