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Popular >

integral of cos(x-y)

Solution

\int cos (x - y) d x

Solution

sin (- y + x) + C

Solution steps

\int cos (x - y) d x

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 + x

= sin (- y + x)

Add a constant to the solution

= sin (- y + x) + C

Graph

Popular Examples

integral of tcos(pit)

\int t cos (π t) d t

integral of sqrt(1+3x^4)(12x^3)

\int 1 + 3 x^{4} (12 x^{3}) d x

integral of 2x^3ln(x)

\int 2 x^{3} ln (x) d x

integral of 72(1+x^2)(7+18x+6x^3)^{16}

\int 72 (1 + x^{2}) (7 + 18 x + 6 x^{3})^{16} d x

integral of e^y-e^{2x}

\int e^{y} - e^{2 x} d x

Frequently Asked Questions (FAQ)

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