What is the integral of (x+5)cos(x) ?

The integral of (x+5)cos(x) is sin(x)(x+5)+cos(x)+C

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integral of (x+5)cos(x)

\int (x + 5) cos (x) d x

sin (x) (x + 5) + cos (x) + C

Solution steps

\int (x + 5) cos (x) d x

Apply Integration By Parts

: sin (x) (x + 5) - \int sin (x) d x

= sin (x) (x + 5) - \int sin (x) d x

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

= sin (x) (x + 5) - (- cos (x))

Simplify

= sin (x) (x + 5) + cos (x)

Add a constant to the solution

= sin (x) (x + 5) + cos (x) + C

\int x cos^{2} (9 x) d x

\frac{d y}{d x} = 4 x e^{y}

\frac{d}{d x} ((x^{3} + 1) (3 - 2 x^{3}))

(3, 2), (5, 6)

y = 4 x, y = \frac{7}{5} x, y = 32 - x^{2}

What is the integral of (x+5)cos(x) ?
The integral of (x+5)cos(x) is sin(x)(x+5)+cos(x)+C