What is the integral from x^2 to sqrt(x of)(x+y) ?

The integral from x^2 to sqrt(x of)(x+y) is xsqrt(x)-x^3+(x-x^4)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from x^2 to sqrt(x of)(x+y)

\int_{x^{2}}^{x} (x + y) d y

x x - x^{3} + \frac{x - x ^{4}}{2}

Solution steps

\int_{x^{2}}^{x} x + y d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{x^{2}}^{x} x d y + \int_{x^{2}}^{x} y d y

\int_{x^{2}}^{x} x d y = x x - x^{3}

\int_{x^{2}}^{x} y d y = \frac{x - x ^{4}}{2}

= x x - x^{3} + \frac{x - x ^{4}}{2}

\int_{- \frac{π}{2}}^{\frac{π}{2}} sin (t) d t

\int_{0}^{\frac{1}{2}} x^{4} d x

\int_{0}^{1} \frac{2 x}{x ^{2} + 4 x + 29} d x

\int_{- \infty}^{0} e^{17 x} d x

What is the integral from x^2 to sqrt(x of)(x+y) ?
The integral from x^2 to sqrt(x of)(x+y) is xsqrt(x)-x^3+(x-x^4)/2