5 = 5X
-cos(3x) + constant
The integral of 0 is some constant C. You can solve for this constant by using boundry conditions if there are any given; otherwise, just put C.
An indefinite integral has an arbitrary constant. The arbitrariness ensures that the integral of any function has infinitely many values.
-cos x + Constant
The indefinite integral of sin 2x is -cos 2x / 2 + C, where C is any constant.
-cos(x) + constant
The integral of ln(2) is a constant multiple of x times the natural logarithm of 2, plus a constant of integration. In other words, the integral of ln(2) with respect to x is x * ln(2) + C, where C is the constant of integration. This integral represents the area under the curve of the natural logarithm of 2 function with respect to x.
The integral of a given function between given integration limits will always be a constant. The integral of a given function between variable limits - for example, from 0 to x - can only be a constant if the function is equal to zero everywhere.
-cos(3s)+C, where C is some arbitrary constant
∫ ax dx = ax/ln(a) + C C is the constant of integration.
The integral of a power function in calculus is found by adding 1 to the exponent and dividing by the new exponent. For example, the integral of xn is (x(n1))/(n1) C, where C is the constant of integration.
The integral of x^5 is (1/6)x^6 + C, where C is the constant of integration.