Integration and its applications quiz: O-Level Additional Mathematics (SEAB 4049) quiz

$3x^2 + C$

$\dfrac{x^4}{4} + C$

$x^4 + C$

$\dfrac{x^2}{2} + C$

Because differentiating a constant gives zero, so the original constant is unknown

To make the answer larger

Because limits are missing

It is optional and never affects marks

$xe^{x-1} + C$

$e^x + C$

$\dfrac{e^x}{x} + C$

$\ln x + C$

$\ln|x| + C$

$-\dfrac{1}{x^2} + C$

$x^{-1} + C$

$\dfrac{x^0}{0} + C$

$\cos x + C$

$-\sin x + C$

$-\cos x + C$

$\tan x + C$

$e^{3x} + C$

$\dfrac{1}{3}e^{3x} + C$

$3e^{3x} + C$

$3xe^{3x} + C$

$4$

$9$

$6$

$8$

negative

positive

zero

double

the sum of the two functions

the upper function minus the lower function

the product of the two functions

either function alone

Their gradients

Their second derivatives

Their points of intersection

Their $y$-intercepts

$\dfrac{(2x + 1)^4}{8} + C$

$\dfrac{(2x + 1)^4}{4} + C$

$(2x + 1)^4 + C$

$6(2x + 1)^2 + C$

$\sin(2x) + C$

$-\dfrac{1}{2}\sin(2x) + C$

$2\sin(2x) + C$

$\dfrac{1}{2}\sin(2x) + C$

$3$

$5$

$2$

$1$