Find the integral of the function \$f(x) = 3x^2 + 4x - 2\$.

A) \$ x^3/3 + x^2/2 - 2x + c \$

B) \$ x^3 + 2x^2 - 2x + c \$

C) \$ x^3 + 4x^2 - 4x + c \$

D) \$ x^3 + 4x^2 - 2x + c \$

Evaluate the definite integral of the function g(x) = 2x + 3 from x = 1 to x = 4.

A) 28

B) 24

C) 26

D) 32

Find the integral of \$ f(x) = 2cos(x) + 3e^x dx\$.

A) \$ 2sin(x) + 3xe^x + c\$

B) \$ 4sin(x) + 3e^x + c\$

C) \$ -2sin(x) + 3e^x + c\$

D) \$ 2sin(x) + 3e^x + c\$

Find the integral of \$ f(x) = (x^2 + 3x + 2)/(x + 1) dx\$.

A) \$ (x^3)/3 + (x^2)/2 - 2x + c \$

B) \$ x^2 + 2x + c \$

C) \$ x^3/3 - 2x + c \$

D) \$ (x^2)/2 + 2x + c \$

Evaluate the integral \$ \int (x^2 + 1)/(x^3 + x^2 + x) dx\$.

A) \$ ln| x| + (2 arctan((2x+1)/(\sqrt3)))/(\sqrt 3) + c \$

B) \$ ln| x| - 2/3 arctan((2x-1)/3) + c \$

C) \$ ln| x| - 2/(\sqrt3) arctan((2x+1)/(\sqrt 3)) + c \$

D) \$ ln| x| + (4 arctan((2x-1))/\sqrt3)/(\sqrt 3) + c \$

Find the integral of \$ f(x) = e^x * cos(x) dx \$.

A) \$ e^x * sin(x)+ c \$

B) \$ e^x * sin(x) + e^x * cos(x)+ c \$

C) \$ (e^x * sin(x))/2 + (e^x * cos(x))/2 + c \$

D) \$ 2e^x * sin(x) + (e^x * cos(x))/2 + c \$

Evaluate the integral \$ \int_0^(π/4) (2 + tan^2(x)) dx\$.

A) \$ pi/4 + 1\$

B) \$ pi/4 + 2\$

C) \$ pi \$

D) \$ pi + 1/2\$

Evaluate the integral \$ \int (x^2 + 1) / (x^3 + x) dx\$.

A) \$ ln | x | + c \$

B) \$ (ln | x |)/x + c \$

C) \$ (x^2)/2 + ln | x | + c \$

D) \$ 2ln | x | + c \$

Evaluate the definite integral \$ \int_0^(π/4) tan^2(x) sec^4(x) dx \$.

A) \$ 7/13 \$

B) \$ 8/15\$

C) \$ 8/13\$

D) \$ 5/23 \$

Evaluate the integral \$ \int (x^2 * sin(x^3)) dx \$.

A) \$ -(4/3) cos(x^3) + c \$

B) \$ -(1/3) cos(x^3) + c \$

C) \$ (1/3) cos(x^3) + x^2/2 + c \$

D) \$ 3cos(x^3) + c \$