`int_(-2)^0{x^3+3x^2+3x+3+(x+1)cos(x+1)dxi se q u a lto` `-4` (b) 0 (c) 4 (d) 6

int_(-2)^(0){x^(3)+3x^(2)+3x+3+(x+1)cos(x+1)dx is equal to (A)-4(B)0(C)4(D)6

L e tI_1=thetaint_0^1(e^xdx)/(1+x)a n dI_2thetaint_0^1(x^2dx)/(e^x^3(2-x^3))dott e h n(I_1)/(I_2)i se q u a lto 3/e (b) e/3 (c) 3e (d) 1/(3e)

int (2x ^ (3) + 3x ^ (2) + 4x + 5) / (2x + 1) dx equls to: (A) (x ^ (3)) / (2) + (x ^ (2)) / (2) +3 (x) / (2) + (7) / (4) ln (2x + 1) + C (B) 5 (x ^ (3)) / (2) + 6 (x) / (2) + (7) / (4) ln (2x + 1) + C (C) 3 (x ^ (3)) / (2) + 3 (x ^ (2)) / (2) + (7 ) / (4) ln (2x + 1) + C (D) (x ^ (2)) / (2) + 3 (x) / (2) + (7) / (4) ln (2x + 1) + C

int_(0)^(1)(3x^(3)-4x^(2)+1)/(sqrt(x))dx=

("lim")_(xvec0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (c) 1/2 (d) 1

Find int_0^1(4x^3+3x^2-2x+1)dx

The value of I=int_(-2)^(0){x^(3)+3x^(2)+3x+3+(x+1)cos(x+1)cos(x+1)}dx , is

If y=int sqrt(x)(1+x^((1)/(3)))^(4)dx ise q u a lto

If int _(0)^(2)(3x ^(2) -3x +1) cos (x ^(3) -3x ^(2)+4x -2) dx = a sin (b), where a and b are positive integers. Find the value of (a+b).