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Popular >

integral of 9+sin(x)

Solution

\int 9 + sin (x) d x

Solution

9 x - cos (x) + C

Solution steps

\int 9 + 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 9 d x + \int sin (x) d x

\int 9 d x = 9 x

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

= 9 x - cos (x)

Add a constant to the solution

= 9 x - cos (x) + C

Graph

Popular Examples

integral from 0 to 1.25 of 1250x

\int_{0}^{1.25} 1250 x d x

integral of (16x^3-32x^2+7)/(x^2-2x)

\int \frac{16 x ^{3} - 32 x ^{2} + 7}{x ^{2} - 2 x} d x

laplacetransform 4\delta(t)+5e^t-5e^{5t}laplace transform

4 δ (t) + 5 e^{t} - 5 e^{5 t}

y^'=0.06(y-65),y(0)=190

y^{^{'}} = 0.06 (y - 65), y (0) = 190

f (t) = 10 cos (t)

Frequently Asked Questions (FAQ)

What is the integral of 9+sin(x) ?
The integral of 9+sin(x) is 9x-cos(x)+C