Evaluate S 2x + 1 (4x + 3)(x + 1) - dx

intergral (2x-1) / (4 square root x^2-x+2 ) dx

I need to find the integral of [math]\frac{\cos(2x)}{\cos^3x}[/math]

Approximate the area under the graph of F(x)=0.6x^(3)+6x^(2)-0.6x-6 over the interval [-6,-1] using 5 subintervals. Use the left endpoints to find the heights of the rectangles.     please provide type solution and detailed steps

Please solve for all steps, please and thank you!!

Estimate the area under the graph of f(x)= 7 +4x^2 from x = -1 to x = 2 using both three rectangles and six rectangles with left, right, and middle endpoints

Find all real numbers  x such that  x^6−3x^3−18=0. Give your answers in increasing order.

find a x-coordinate of the point on the curve xy=x^3-2/3x^2+2x+1/12, where the tangent line is horizontal. (Use symbolic notation and fractions where needed)

Estimate the area under the curve given by the function f(x)= ^3√x on the interval [1, 8] using 6 subintervals and right endpoints.

Show that there is a real number t such that(e^−t) − (t^3) = 207/(t^4) + 1.