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How do you integrate tan^2(x)?

This is a question which tests your knowledge of how to use trigonometric identities as well as integration. As there is no way to immediately integrate tan^2(x) using well known trigonometric integrals and ...
WL
Answered by Warren L. • Maths tutor
121940 Views

Why is the derivative of x^2 equal to 2x?

Differentiation is finding the slope of a graph; how steep it is at some point. In this case, we want to find out how steep the graph of x^2 is. To do this, we could look at the slope between two points on t...
LH
Answered by Lawrence H. • Maths tutor
19675 Views

How would I find the approximate area enclosed by the expression e^x*sin(x)*x^3 on an infinite scale?

The area under a curve is analytically calculated using the integral of the function. The integral of the function above could be calculated using integration by parts twice, considering that 3 functions are...
MW
Answered by Matthew W. • Maths tutor
3629 Views

Can you explain where the "Integration by parts" formula comes from?

Sure. If you remember how to calculate d/dx(uv) then you can understand how integration by parts works. d/dx(uv) = u(dv/dx) + v(du/dx). we can re-arrange this: u(dv/dx) = d/dx(uv) - v(du/dx). Now integrating...
CF
Answered by Christian F. • Maths tutor
4232 Views

Find the derivative of the curve e^(xy) = sin(y)

First we have to identify that implicit differentiation is used to solve this question. We can differentiate the first the LHS first, by using the chain rule, we know that the differentiation of e^(xy) is e^...
GG
Answered by Gouri G. • Maths tutor
8578 Views