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Two simple calculus problems?
These are the two problems from my homework I don't get.. can you help me?
A: y=2x-x^3 [0,1] use the limit process to find the area of the
region between the graph of the function and the x-axis over the
given interval. Sketch the region
B: f(x)=4-(12/(x^2))Calculate the lower and upper sum estimates of the area under the curve over the interval [2,5] using subintervals of width ½.
Thanks!
2 Answers
- ?Lv 44 years ago
at the same time as taking an antiderivative of x, apparently like so cx^n (c is a continuing, n is a few cost) The antiderivative is (c/n+a million)x^(n+a million) + C So the antiderivative of x may be; x^(a million/2) = (2/3)x^(3/2) + C And the antiderivative of your 2d question; (9/3)x^(3) -(7/2)x^(2) + 3x = 3x^3 - (7/2)x^2 + 3x + C