Differentiate expressions of form Ax^b where A and b are constants and x is a variable
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)
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A curve is defined by the parametric equations x = 3^(-t) + 1, y = 2 x 2^(t). Show that dy\dx = -2 x 3^(2t).
a) Find the indefinite integral of sec^2(3x) with respect to x. b) Using integration by parts, or otherwise, find the indefinite integral of x*sec^2(3x) with respect to x.
Integrate, by parts, y=xln(x),