Correct answer: B. | x x+ x |+c I= x+x x x(x+ x) d x= x x(x+ x) d x+ x (x+ x) d x= 1 x - 1 x+ x d x+ x x+ x d x= 1 x - (1- x x+ x d x= x- (x+ x)+C= | x x+ x |+C

AP EAMCET202420 May 2024Morning ShiftMathematicsIndefinite IntegrationActual

x+x x x(x+ x) d x=

Options

A|x^2+x x |+c
B| x x+ x |+c
C| x x+ x |+c
D| 1 x+ x |- x+c

Correct answer

B. | x x+ x |+c

Step-by-step solution

I= x+x x x(x+ x) d x= x x(x+ x) d x+ x (x+ x) d x= 1 x - 1 x+ x d x+ x x+ x d x= 1 x - (1- x x+ x d x= x- (x+ x)+C= | x x+ x |+C

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