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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

Graph

Popular Examples

integral of cos(sqrt(x)+1)

\int cos (x + 1) d x

integral of 2x^3e^{-x^4+12}

\int 2 x^{3} e^{- x^{4} + 12} d x

integral of (e^x)/(e^x+7)

\int \frac{e ^{x}}{e ^{x} + 7} d x

integral of (3x^2)/(x^3+2)

\int \frac{3 x ^{2}}{x ^{3} + 2} d x

integral of (x+7)(x-6)

\int (x + 7) (x - 6) 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