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Popular >

integral of sin(x)+y

Solution

\int sin (x) + y d x

Solution

- cos (x) + y x + C

Solution steps

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

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

\int y d x = y x

= - cos (x) + y x

Add a constant to the solution

= - cos (x) + y x + C

Popular Examples

(\partial)/(\partial y)((2xy^2)/(3+x^2y^2))

\frac{\partial}{\partial y} (\frac{2 x y ^{2}}{3 + x ^{2} y ^{2}})

integral of x^7arctan(x^4)

\int x^{7} arctan (x^{4}) d x

derivative of 4x^2+1/(x^2+3x^4)

\frac{d}{d x} (4 x^{2} + \frac{1}{x ^{2}} + 3 x^{4})

integral from 9 to 16 of 1/(1-sqrt(x))

\int_{9}^{16} \frac{1}{1 - x} d x

integral of sqrt(x^2+3)

\int x^{2} + 3 d x

Frequently Asked Questions (FAQ)

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