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Popular >

integral of cos(x-3)

Solution

\int cos (x - 3) d x

Solution

sin (x - 3) + C

Solution steps

\int cos (x - 3) 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 = x - 3

= sin (x - 3)

Add a constant to the solution

= sin (x - 3) + C

Popular Examples

integral of 6sin(x)-5cos(x)

\int 6 sin (x) - 5 cos (x) d x

integral of (2-x^2)/x

\int \frac{2 - x ^{2}}{x} d x

integral of 1/((x^2-2x+2))

\int \frac{1}{( x ^{2} - 2 x + 2 )} d x

integral of (e^x)/(36+e^{2x)}

\int \frac{e ^{x}}{36 + e ^{2 x}} d x

integral of (1+sin(x))/(x-cos(x))

\int \frac{1 + sin ( x )}{x - cos ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of cos(x-3) ?
The integral of cos(x-3) is sin(x-3)+C