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a is acceleration, v is velocity, s is position vertically: a = - g v = u - gt (by integrating with respect to t and setting initial speed u as constant of integration) s = ut -gt 2 /2 + s 0 (by integrating ...

EXPLANATION: Integration by parts states that ∫uv' dx = uv - ∫u'v dx , where u & v are funcions of x and the notation u' means du/dx. to do integration by parts given an integral ∫f(x) dx, it involves wr...

If A is negative, then it would be like an upsidedown 'bucket' where the only intersection is in the origin. If A is positive, then it would be similar but flipped on the x-axis. So it would look like a 'buc...

First you have Ax^b where x is a variable. Then you multiply A and b together with the variable so you have Abx^b Then you minus 1 from the b which gives you the final answer Abx^(b-1)

Integration by parts is a method of integration used when you are attempting to integrate a function which is the product of two functions. If the two products can be expanded there is usually an easier way ...