Nick Walker

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

Questions on basic integration, including indefinite and definite.

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$. 

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$. 

Integration techniques for monomials and simple polynomials.

4 questions on using partial fractions to solve indefinite integrals.

4 questions on integrating by parts.

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

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

This quiz asks questions on basic techniques of differentation and some introductory applications.

Implicit differentiation.

Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product and chain rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$. Non-calculator. Advice is given.

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

A cubic with a maximum and minimum point is given. Question is to determine coordinates of the minimum and maximum point.

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four version of this question: I: cubic, II: linear, III: quadratic, IV: sinusoisal.

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four such questions.

Questions on manipulating logarithms.

Questions on powers, the laws of indices, and exponential growth.

Several questions on rounding number and using approximations to estimate. Several real-world examples.

Arithmetic operations involving fractions; converting between decimals and fractions; deciding if fractions are equivalent.

Questions on adding, subtracting, multiplying and dividing numbers in standard form.

A collection of questions on working with units of measurement, mainly in the SI/metric system.

Several 'real-world' examples.

Questions involving various techniques for rearranging and solving quadratic expressions and equations

Some questions on working with surds.

Find the lowest common multiple and highest common factors of given numbers. Also a question on identifying prime numbers.

Questions on presenting data in charts or tables.

Calculate and work with measures of central tendency such as mean, median and mode, and measures of spread such as range and standard deviation.

Work with measurements of weight, mass and density.