Ida Friestad Pedersen

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5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$

(Green’s theorem). $\Gamma$ a rectangle, find: $\displaystyle \oint_{\Gamma} \left(ax^2-by \right)\;dx+\left(cy^2+px\right)\;dy$.

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Using trig identities to find solutions to equations

Instruksjoner til studentene

Finding the stationary points of a cubic with two turning points

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Using simple substitution to find $\lim_{x \to a} bx+c$, $\lim_{x \to a} bx^2+cx+d$ and $\displaystyle \lim_{x \to a} \frac{bx+c}{dx+f}$ where $d\times a+f \neq 0$.

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Simplifying algebraic expressions

Working with powers

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Working with powers

Working with powers

Working with powers

Add, subtract, multiply and divide algebraic fractions.

Add, subtract, multiply and divide algebraic fractions.

Simplifying algebraic expressions

Simplifying algebraic expressions

Add, subtract, multiply and divide numerical fractions.

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