What is the integral of 2cos(x)+7 ?

The integral of 2cos(x)+7 is 2sin(x)+7x+C

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integral of 2cos(x)+7

\int 2 cos (x) + 7 d x

2 sin (x) + 7 x + C

Solution steps

\int 2 cos (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

= \int 2 cos (x) d x + \int 7 d x

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

\int 7 d x = 7 x

= 2 sin (x) + 7 x

Add a constant to the solution

= 2 sin (x) + 7 x + C

\frac{d}{d x} (a x^{2} + b y (x)^{2} + c)

\int_{0}^{y} \int_{0}^{x} (x^{2} + y^{2})^{\frac{3}{2}} d y d x

3 x, \frac{3}{4} x, 70 - x^{2}

q^{^{''}} + 20 q^{^{'}} + 500 q = 12

x \to 1 lim (3 x^{2} - 2 x + 1)