Search over 10,000 free study notes

(x^3)/3  + C

5sin(x)-3cos(x)=2

Express in the form Rsin(x-@) = Rsin(x)cos@ - Rcos(x)sin@

Rcos@ =5

Rsin@ = 3    

tan@ = 3/5           @=tan^-1(3/5)= 0.540

R = sqrt(5^{2 <...}

Tackle this problem one part at a time: First differentiate 2x²y using the product rule, showing dy/dx(2x²y) = 4xy + 2x²(dy/dx). After this, the remainder of the question ...

When you evaluate a definite integral, we can think about using the "+C" and see what happens. Let's take (INT)2x dx between 2 and 3. We then have [x²+C] between 2 and 3. For x=3 we h...

Differentiate x = u² to get dx = 2u du. We need to change the limits, too:

1 <= x <= 9  <==>  1 <= u² <= 9  <==>  1 <= u <= 3  (since we are give...