What is the integral of (4x+3)cos(x) ?

The integral of (4x+3)cos(x) is sin(x)(4x+3)+4cos(x)+C

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

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

sin (x) (4 x + 3) + 4 cos (x) + C

Solution steps

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

Apply Integration By Parts

: (4 x + 3) sin (x) - \int 4 sin (x) d x

= (4 x + 3) sin (x) - \int 4 sin (x) d x

\int 4 sin (x) d x = - 4 cos (x)

= (4 x + 3) sin (x) - (- 4 cos (x))

Simplify

= sin (x) (4 x + 3) + 4 cos (x)

Add a constant to the solution

= sin (x) (4 x + 3) + 4 cos (x) + C

y^{^{''}} + 3 y^{^{'}} + 2 = 0

\int_{1}^{9} e^{x} d x

k = 1 \sum \infty \frac{1}{k ^{4}}

4 x^{2} cos (x) + 3 x

\int 4 e^{x} sec (e^{x} + 2) d x

What is the integral of (4x+3)cos(x) ?
The integral of (4x+3)cos(x) is sin(x)(4x+3)+4cos(x)+C