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Being able to find partial fractions is very useful for complex algebraic fractions that cannot be intergrated in their current form. Breaking it down into a sum of it's partial fractions gives two (or mo...

=3*5x^2

=15x^2

= pi * r^2

=pi * 1.5^2

=pi * 1.5 * 1.5

=7.07 cm^2

X = -2

Y = 5

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 int...