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Popular >

integral of cos(y+z)

Solution

\int cos (y + z) d z

Solution

sin (y + z) + C

Solution steps

\int cos (y + z) d z

Apply u-substitution

: \int cos (u) d u

= \int cos (u) d u

Use the common integral:

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

= sin (u)

Substitute back

u = y + z

= sin (y + z)

Add a constant to the solution

= sin (y + z) + C

Graph

Popular Examples

integral of 8/(1+t^2)

\int \frac{8}{1 + t ^{2}} d t

integral of 1/(11x-7)

\int \frac{1}{11 x - 7} d x

integral of cos(3x)sin(4x)

\int cos (3 x) sin (4 x) d x

integral of sqrt(sin(x)+3)cos(x)

\int sin (x) + 3 cos (x) d x

integral of x+x^{11}+x^{-11}

\int x + x^{11} + x^{- 11} d x

Frequently Asked Questions (FAQ)

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