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d/dx(tan^2(x)) is not a known differential, and therefore requires a substitution to calculate it using simpler known differentials. Using the identity sin^2(x) + cos^2(x) = 1, the equation can be divided th...

We have, from the formula book, sin⁡(A±B)=sinAcosB±cosAsinB Using A=B=θ , we have sinθ+θ=sinθcosθ+cosθsinθ Which we can simplify to sin2θ=2sinθcosθ as required. We can then substitute this into the integral:...

It is an isosceles triangle. We know this because 40 + 70 = 110. So we take away 110 from 180 (The sum of the three degrees in a triange) to give us the degree of the last angle, which is 70. Since we have t...

When evaluating more complex exponentials it is helpful to break them up into smaller steps. so when we are aproched with (1/3) -3/2 we should first look at the effect that the negative sighn has on the frac...

Intergration by parts (IBP). - This accours every time you have a mulitplication in an intergral. This quesion wants you to find the area under the graph x 2 e x . For any intergration by parts question simp...