Calculus Derivatives and Integrals Exam Questions with Correct Grade A+ Solutions

Calculus Derivatives and Integrals Exam Questions with Correct Grade A+ Solutions -cos x + c - Correct Answers: ∫ sin x dx sin x + c - Correct Answers: ∫ cos x dx tan x + c - Correct Answers: ∫ sec2 x dx -cot x + c - Correct Answers: ∫ csc2 x dx sec x + c - Correct Answers: ∫ sec x tan x dx -csc x + c - Correct Answers: ∫ csc x cot x dx -ln |cos x| + c - Correct Answers: ∫ tan x dx ln |sin x| + c - Correct Answers: ∫ cot x dx ln |sec x + tan x| + c - Correct Answers: ∫ sec x dx -ln |csc x + cot x| + c - Correct Answers: ∫ csc x dx ln |u| + c - Correct Answers: ∫ 1/u du e^u + c - Correct Answers: ∫ e^u du (e^kx)(1/k) + c - Correct Answers: ∫ e^kx dx (a^u)(1/ln a) + c - Correct Answers: ∫ a^u du cos x - Correct Answers: d/dx sin x -sin x - Correct Answers: d/dx cos x sec2 x - Correct Answers: d/dx tan x sec x tan x - Correct Answers: d/dx sec x -csc2 x - Correct Answers: d/dx cot x -csc x cot x - Correct Answers: d/dx csc x (a^u)(ln a)(du/dx) - Correct Answers: d/dx a^u (1/u)(du/dx) - Correct Answers: d/dx ln u (1/u ln a)(du/dx) - Correct Answers: d/dx log a u (e^u)(du/dx) - Correct Answers: d/dx e^u (one over the square root of one minus u squared)(du/dx) - Correct Answers: d/dx sin^-1 u (one over the absolute value of u times the square root of u squared minus one)(du/dx) - Correct Answers: d/dx sec^-1 u (one over one plus u squared)(du/dx) - Correct Answers: d/dx tan^-1 u