Calculus

Integrate each of the following: �� ׬ (a( 3𝑑𝑥 �� ׬ (b( 2 + 𝑥 5 𝑑𝑥 (c) ׬ 15𝑥2𝑑� Assume x and y are functions of t. Evaluate dy/dt for 2xy-2x+6y^3=-30, with the conditions dx/dt=-18... if dx/dt=5 and dy/dt=sin(t^2). then d^2y/dx^2 is integrate with limits of 2 and -2 (x^3(cos x/2) +1/2) (sqrt 4-x^2)dx derive x2ln(3x^2+5x) product rule intergrate (1+sin(x))dx bound is pi and 0 power rule log3xp a. Find the critical points of f(x)=x^16 e^-x b. Use the First Derivative Test to locate the loc... A particle is moving along the curve y= 5 \sqrt{4 x + 5}. As the particle passes through the point (... Let \[f(x) = (\arccos x)^2 \cdot (\arcsin x)^2.\] Find the range of $f(x).$ All functions are in...