The antiderivative of Sinx is cos (x) +C. With the use of the integral sign, this particular variant can be written as:

∫sin(x) dx= -cos(x) +C

The anti-derivative for any function, represented by f(x), is the
same as the function's integral. This simply translates to the
following equation:

∫f(x) dx

This means the
resulting value for sin (x) shall be:

∫sin(x) dx

This particular value is the common integral for:

∫sin(x) dx = -cos(x)+C

Integration or antiderivative is
something that can effectively be used for finding the volume, area,
center points, as well as many other useful things. However, it is
mostly used for finding the overall area below the function graph or
integral of Sin (X).

**Power Rule:**

When calculating Sin X antiderivative,
one can use the power method. This integration formula is actually
the inverse for power rule that can be used in the differentiation
calculation. This gives us indefinite integral for the variable which
is raised to power.

**Constant Coefficient Rule:**

Also known as the
constant multiplier method, this process basically tells that
indefinite integral for c.f(x) equals indefinite integral for f(x)
which can be multiplied with use of c. Here f(x) is the function & c
represents constant coefficient.

**Sum Rule:**

When wondering about the possible
integration methods for Sin X, Integration's sum method notes that we
need to integrate the functions which is the summation of multiple
terms. Basically, it states that each term needs to be integrated
separately and then added together.

**Difference Rule:**

For calculation of integrals, it is
important to understand the difference method. It tells the way to
integrate functions which involve noting difference between terms
more than two. Essentially, the rule is same as Sum Rule but the
final terms and integrated separately.