Find `int xsqrt(x^2+1)\ dx` (2 marks)
Calculus, 2ADV C4 2022 HSC 6 MC
What is `int(1)/((2x+1)^(2))\ dx` ?
- `(-2)/(2x+1)+C`
- `(-1)/(2(2x+1))+C`
- `2 text{ln}(2x+1)+C`
- `(1)/(2) text{ln}(2x+1)+C`
Calculus, 2ADV C4 SM-Bank 4 MC
Let `f^(')(x)=(2)/(sqrt(2x-3))`.
If `f(6)=4`, then
- `f(x)=2sqrt(2x-3)`
- `f(x)=sqrt(2x-3)-2`
- `f(x)=2sqrt(2x-3)-2`
- `f(x)=sqrt(2x-3)+2`
Calculus, 2ADV C4 SM-Bank 5
Let `f^(′)(x) = x^3 + x`.
Find `f(x)` given that `f(1) = 2`. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
Calculus, 2ADV C4 2019 MET1 2
Find `f(x)` given that `f(1) = -7/4` and `f ^{prime}(x) = 2x^2 - 1/4x^(-2/3)`. (2 marks)
--- 5 WORK AREA LINES (style=lined) ---
Calculus, 2ADV C4 2017 HSC 11b
Find `int (2x + 1)^4\ dx`. (1 mark)
Calculus, 2ADV C4 2014 HSC 11d
Find `int 1/((x + 3)^2)\ dx`. (2 marks)
Calculus, 2ADV C4 2009 HSC 2b
- Find `int 5\ dx`. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- Find `int 3/((x - 6)^2)\ dx`. (2 marks)
--- 3 WORK AREA LINES (style=lined) ---
- Evaluate `int_1^4 x^2 + sqrtx\ dx`. (3 marks)
--- 5 WORK AREA LINES (style=lined) ---
Calculus, 2ADV C4 2010 HSC 2di
Find `int sqrt(5x +1) \ dx .` (2 marks)
Calculus, 2ADV C4 2011 HSC 4d
- Differentiate `y=sqrt(9 - x^2)` with respect to `x`. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
- Hence, or otherwise, find `int (6x)/sqrt(9 - x^2)\ dx`. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
Calculus, 2ADV C4 2011 HSC 2e
Find `int 1/(3x^2)\ dx`. (2 marks)