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Use integration by parts, let U = x, the derivative of U = 1, let the derivative of V = sin3x and intergrate the derivative of V to arrive at V = (-1/3)(cos3x). Substitute the value into the formula uv − ...

This question is a quadratic equation in hiding. The first step to solving this would be to expand sec^(2)(x) into 1 + tan^(2)(x) as they are equivalent. This can be derived by dividing sin^(2)(x) + cos^(...

Can be solved in 3 ways:
Substitution - can rearrange equation 2 to for x = 2y-5. Then substitute this in to equation 1 to form, 3(2y-5)+2y = 9. Multiply out the brackets and rearrange to form 8y = 2...

When rearranging an equation, the most important thing to remember is that whatever you do to one side of the equation you must do to the other. In order to make y the subject you want to isolate it so t...

We will solve the integral by part. We know the formula for integration by parts: ∫ f(x)'g(x)dx=f(x)g(x)-∫f(x)g(x)'dx (1). We know that: (arcsin (x))'=1/sqrt(1-x^2). So w...