en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2xcos(y)

Solution

\int 2 x cos (y) d x

Solution

x^{2} cos (y) + C

Solution steps

\int 2 x cos (y) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 cos (y) \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= 2 cos (y) \frac{x ^{2}}{2}

Simplify

2 cos (y) \frac{x ^{2}}{2} : x^{2} cos (y)

= x^{2} cos (y)

Add a constant to the solution

= x^{2} cos (y) + C

Popular Examples

integral of t/(1+t^2)

\int \frac{t}{1 + t ^{2}} d t

integral from 0 to 1/8 of xarcsin(8x)

\int_{0}^{\frac{1}{8}} x arcsin (8 x) d x

derivative of (3x^2-9^{-15})

\frac{d}{d x} ((3 x^{2} - 9)^{- 15})

tangent of y=(x^2-2)(x^3-3x),(-2,-4)tangent of

y = (x^{2} - 2) (x^{3} - 3 x), (- 2, - 4)

derivative of 3x^2-4x+2

\frac{d}{d x} (3 x^{2} - 4 x + 2)

Frequently Asked Questions (FAQ)

What is the integral of 2xcos(y) ?
The integral of 2xcos(y) is x^2cos(y)+C