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The general form for an integrand if the integral is of the form f(x^n)dx is (1/(n+1)) * x^(n+1) +c This is applied to each term in the question, remembering the constant in the integrand:

So: f(6x...

Answer= 1/4 7+6+11= 24 Green =6/24 Simplifies to 1/4, by division by 6.

Final Answer: a² +3a -18 Using FOIL (First, outside, inside, last) we multiply the terms in the brackets together. First: 3a multiplied by a = 3a²  Outside: 3a x 3 = 9a Inside: -6 x ...

y = 4x³ To differentiate you must find dy/dx. To calculate dy/dx, look at this example using just letters from algebra: y = ax^b dy/dx = (ab)x^(b-1) As you can see, to calcu...

Draw a free body force diagram of all the forces acting on the object.

Resolve the forces parallel and perpendicular to the plane.

Use the equation ΣF=ma to solve the accele...