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Popular >

integral of sin(x+y)

Solution

\int sin (x + y) d x

Solution

- cos (y + x) + C

Solution steps

\int sin (x + y) d x

Apply u-substitution

: \int sin (u) d u

= \int sin (u) d u

Use the common integral:

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

= - cos (u)

Substitute back

u = y + x

= - cos (y + x)

Add a constant to the solution

= - cos (y + x) + C

Popular Examples

derivative of (x+1/(x+3))

\frac{d}{d x} (\frac{x + 1}{x + 3})

f(x)=(4x+4)/(3x^{2/3)}

f (x) = \frac{4 x + 4}{3 x ^{\frac{2}{3}}}

derivative of y= 1/(2x+1)derivative of

y = \frac{1}{2 x + 1}

integral from-1 to 4 of 2-2x

\int_{- 1}^{4} 2 - 2 x d x

derivative of (cot(x))/(1+cot(x))derivative of

\frac{cot ( x )}{1 + cot ( x )}

Frequently Asked Questions (FAQ)

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