What is the integral of 1.7+1.4cos(2pix) ?

The integral of 1.7+1.4cos(2pix) is 1.7x+0.22281…sin(6.28318…x)+C

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integral of 1.7+1.4cos(2pix)

\int 1.7 + 1.4 cos (2 π x) d x

1.7 x + 0.22281 \dots sin (6.28318 \dots x) + C

Solution steps

\int 1.7 + 1.4 cos (2 π x) d x

Simplify

= \int 1.7 + 1.4 cos (6.28318 \dots x) 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 1.7 d x + \int 1.4 cos (6.28318 \dots x) d x

\int 1.7 d x = 1.7 x

\int 1.4 cos (6.28318 \dots x) d x = 0.22281 \dots sin (6.28318 \dots x)

= 1.7 x + 0.22281 \dots sin (6.28318 \dots x)

Add a constant to the solution

= 1.7 x + 0.22281 \dots sin (6.28318 \dots x) + C

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What is the integral of 1.7+1.4cos(2pix) ?
The integral of 1.7+1.4cos(2pix) is 1.7x+0.22281…sin(6.28318…x)+C