Search
Question: What is the integral of tan(x) dx? (2023)Options: -lncos(x)+ Clnsin(x)+ Clntan(x)+ C-lnsin..
Question: Evaluate ∫ (5 - 3x) dx. (2022)Options: 5x - (3/2)x^2 + C5x - (3/3)x^2 + C5x - (3/4)x^2 + C..
Question: Find the integral of x^5 dx. (2020)Options: (1/6)x^6 + C(1/5)x^6 + C(1/4)x^6 + C(1/7)x^6 +..
Question: What is the integral of cos(2x) dx? (2021)Options: (1/2)sin(2x) + Csin(2x) + C(1/2)cos(2x)..
Question: Evaluate ∫ (4x^3 - 2x) dx. (2019)Options: x^4 - x^2 + Cx^4 - x^2 + 2Cx^4 - x + C4x^4 - 2x^..
Question: Find the integral of e^x dx. (2022)Options: e^x + Ce^xx e^x + Cln(e^x) + CCorrect Answer: ..
Question: Evaluate the integral ∫ (3x^2 + 2x) dx. (2020)Options: x^3 + x^2 + Cx^3 + x^2 + 2Cx^3 + x^..
Question: What is the integral of sin(x) dx? (2021)Options: -cos(x) + Ccos(x) + Csin(x) + C-sin(x) +..
Question: Find the derivative of f(x) = x^5 + 3x^3 - 2x.Options: 5x^4 + 9x^2 - 25x^4 + 6x^2 - 23x^2 ..
Question: What is the derivative of f(x) = 1/x?Options: -1/x^21/x^2-xxCorrect Answer: -1/x^2Solution..
Question: What is the derivative of f(x) = 5x^4?Options: 20x^35x^315x^34x^3Correct Answer: 20x^3Solu..
Question: What is the derivative of f(x) = x^3 - 4x?Options: 3x^2 - 43x^2 + 4x^2 - 43x^2 - 2Correct ..
Question: Calculate the derivative of f(x) = ln(x^2 + 1).Options: 2x/(x^2 + 1)1/(x^2 + 1)2/(x^2 + 1)..
Question: What is the derivative of f(x) = e^(2x)?Options: 2e^(2x)e^(2x)e^(x)2x*e^(2x)Correct Answer..
Question: Find the derivative of f(x) = sin(x) + cos(x).Options: cos(x) - sin(x)-sin(x) - cos(x)sin(..
Question: What is the general solution of the equation y\'\' - 3y\' + 2y = 0?Options: y = C1 e^(x) +..
Question: Solve the differential equation y\' = 5 - 2y.Options: y = 5/2 + Ce^(-2x)y = 5 + Ce^(-2x)y ..
Question: What is the solution to the equation y\' = 3y + 6?Options: y = Ce^(3x) - 2y = Ce^(3x) + 2y..
Question: Find the solution of the differential equation dy/dx = y^2.Options: y = 1/(C - x)y = C/(x ..
Question: What is the integrating factor for the equation dy/dx + 2y = 6?Options: e^(2x)e^(-2x)e^(6x..
Question: What is the solution to the differential equation dy/dx = -y/x?Options: y = Cxy = C/xy = C..
Question: Find the particular solution of dy/dx = 4y with the initial condition y(0) = 2.Options: y ..
Question: Solve the differential equation dy/dx = 2x + 1.Options: y = x^2 + x + Cy = x^2 + 2x + Cy =..
Question: What is the length of the diagonal of a rectangle with vertices at (1, 1), (1, 4), (5, 1),..
Question: What is the coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and ..
Question: What is the distance from the point (1, 2) to the line x + y = 5? (2020)Options: 3214Corre..
Question: What is the equation of the line passing through (0, 0) and (2, 4)? (2019)Options: y = 2xy..
Question: If the coordinates of point A are (1, 2) and point B are (4, 6), what is the length of AB?..
Question: If z = -2 + 2i, what is the value of |z|? (2019)Options: 2√242√2Correct Answer: 2√2Solutio..
Question: What is the square of the modulus of the complex number 1 + i? (2020)Options: 2104Correct ..
