What is the integral of 1/2 (3sin(x)+7) ?

The integral of 1/2 (3sin(x)+7) is 1/2 (-3cos(x)+7x)+C

Popular >

integral of 1/2 (3sin(x)+7)

\int \frac{1}{2} (3 sin (x) + 7) d x

\frac{1}{2} (- 3 cos (x) + 7 x) + C

Solution steps

\int \frac{1}{2} (3 sin (x) + 7) d x

Take the constant out:

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

= \frac{1}{2} \cdot \int 3 sin (x) + 7 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \frac{1}{2} (\int 3 sin (x) d x + \int 7 d x)

\int 3 sin (x) d x = - 3 cos (x)

\int 7 d x = 7 x

= \frac{1}{2} (- 3 cos (x) + 7 x)

Add a constant to the solution

= \frac{1}{2} (- 3 cos (x) + 7 x) + C

y = 2 x (5 - 3 x)^{4}

x \to 0 lim (\frac{sec ( x )}{x})

x^{2} + 2, 2 x + 5

x^{2} y^{^{''}} + 2 x y^{^{'}} - 12 y = 0

\frac{d}{d x} (cos (e^{t a n (2 x)}))

What is the integral of 1/2 (3sin(x)+7) ?
The integral of 1/2 (3sin(x)+7) is 1/2 (-3cos(x)+7x)+C