The value of definite integral ∫ limits-aa (x2 cos x+ex/ex+1) d x is equal to

Question

The value of definite integral ∫ limits-aa (x2 cos x+ex/ex+1) d x is equal to (A) 2 a cos (a)-a+(a2-2) sin (a) (B) 2 a cos (a)+a+(a2-2) sin (a) (C) 2 a cos (a)-a-(a2-2) sin (a) (D) 2 a cos ( a )+ a +( a 2+2) sin ( a )

Tardigrade Admin · Accepted Answer

Correct answer is (b) 2 a cos (a)+a+(a2-2) sin (a)

Q. The value of definite integral $- a \int a \frac{x ^{2} c o s x + e ^{x}}{e ^{x} + 1} d x$ is equal to

$2 a cos (a) - a + (a^{2} - 2) sin (a)$

$2 a cos (a) + a + (a^{2} - 2) sin (a)$

$2 a cos (a) - a - (a^{2} - 2) sin (a)$

$2 a cos (a) + a + (a^{2} + 2) sin (a)$

Correct answer is (b) $2 a cos (a) + a + (a^{2} - 2) sin (a)$

Q. The value of definite integral −a∫a​ex+1x2cosx+ex​dx is equal to

2acos(a)−a+(a2−2)sin(a)

2acos(a)+a+(a2−2)sin(a)

2acos(a)−a−(a2−2)sin(a)

2acos(a)+a+(a2+2)sin(a)