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To integrate e^(2x), integration by substitution can be used. 2x=u, you're left with an intergrand of e^u. S: = integral sign S: e^u dx. In this case we are still integrating the intergrand in terms of x so ...

In short, a radian is an angular measurement , very much like a degree, except one radian is a lot bigger than one degree, and it has some special properties. A radian can often seem like an unnecessarily co...

Two straight lines can intersect at only one point. To identify the point at which the lines cross, we make a simultaneous equation, and solve x and y from here, by firstly writing one equation on top of the...

When we integrate by parts, we begin by setting the first term to equal some variable U, the second term in the integral we set to be dv/dx. Then we differentiate the U to obtain du/dx and integrate dv/dx to...

tanx = 4cotx + 3 - Multiply through by tan to form a quadratic. tan^2x = 4 + 3tanx - Simplify by allowing y to equal tanx. y^2 = 4 + 3y - Rearange to standard quadratic form. y^2 - 3y -4 = 0 - Factorise. (y ...