What is the integral of 3x^4+7/4 x^5 ?

The integral of 3x^4+7/4 x^5 is (3x^5)/5+(7x^6)/(24)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3x^4+7/4 x^5

\int 3 x^{4} + \frac{7}{4} x^{5} d x

\frac{3 x ^{5}}{5} + \frac{7 x ^{6}}{24} + C

Solution steps

\int 3 x^{4} + \frac{7}{4} x^{5} d x

Apply the Sum Rule:

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

= \int 3 x^{4} d x + \int \frac{7}{4} x^{5} d x

\int 3 x^{4} d x = \frac{3 x ^{5}}{5}

\int \frac{7}{4} x^{5} d x = \frac{7 x ^{6}}{24}

= \frac{3 x ^{5}}{5} + \frac{7 x ^{6}}{24}

Add a constant to the solution

= \frac{3 x ^{5}}{5} + \frac{7 x ^{6}}{24} + C

y^{^{'}} + y + 4 cos (x) = 0

\frac{d}{d x} (\frac{( x + 1 )}{( x - 1 )})

y = 2 ln (3) + \frac{1}{2} ln (x^{2} + 1)

\frac{d}{d x} (2 x (4 - x^{2})^{\frac{1}{2}})

\int se x^{2} x d x

What is the integral of 3x^4+7/4 x^5 ?
The integral of 3x^4+7/4 x^5 is (3x^5)/5+(7x^6)/(24)+C