What is the integral of sin(x)2 ?

The integral of sin(x)2 is -2cos(x)+C

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integral of sin(x)2

\int sin (x) 2 d x

- 2 cos (x) + C

Solution steps

\int sin (x) \cdot 2 d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= 2 (- cos (x))

Simplify

= - 2 cos (x)

Add a constant to the solution

= - 2 cos (x) + C

\int \frac{e ^{2 x}}{1 + e ^{4 x}} d x

\int x^{3} (x + 1)^{5} d x

y = x^{2} - 9, y = 7

(\frac{x}{7} + \frac{7}{x})^{7}

\int [x^{2} cos (x)] d x