Calculus PYQ

The value of ∫₀¹ x·eˣ dx is:

The integral ∫cos(x)dx equals:

The derivative of ln(sin x) with respect to x is:

The derivative of sin²x is

The integral of 1/x is

If the integral from 0 to 1 of x²eˣ dx = ae - b, find a + b.

The derivative of sin(x) with respect to x is:

∫₀¹ x² dx is equal to:

The derivative of sin(x²) with respect to x is:

∫ eˣ dx is equal to:

The maximum value of sin x + cos x is:

lim(x→0) (sin x)/x is equal to:

If f(x) = |x - 2|, then f(x) is not differentiable at x =:

If y = x³ + x², then dy/dx at x = 1 is:

The area bounded by y = x², x-axis, and x = 2 is: