What is the integral of 7x+6sin(x) ?

The integral of 7x+6sin(x) is (7x^2)/2-6cos(x)+C

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integral of 7x+6sin(x)

\int 7 x + 6 sin (x) d x

\frac{7 x ^{2}}{2} - 6 cos (x) + C

Solution steps

\int 7 x + 6 sin (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 7 x d x + \int 6 sin (x) d x

\int 7 x d x = \frac{7 x ^{2}}{2}

\int 6 sin (x) d x = - 6 cos (x)

= \frac{7 x ^{2}}{2} - 6 cos (x)

Add a constant to the solution

= \frac{7 x ^{2}}{2} - 6 cos (x) + C

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What is the integral of 7x+6sin(x) ?
The integral of 7x+6sin(x) is (7x^2)/2-6cos(x)+C