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Popular >

integral of 7x^4

Solution

\int 7 x^{4} d x

Solution

\frac{7 x ^{5}}{5} + C

Solution steps

\int 7 x^{4} d x

Take the constant out:

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

= 7 \cdot \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= 7 \cdot \frac{x ^{5}}{5}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{7 x ^{5}}{5}

Add a constant to the solution

= \frac{7 x ^{5}}{5} + C

Popular Examples

tangent of f(x)=7x^2+5x-8 tangent of

f (x) = 7 x^{2} + 5 x - 8

limit as x approaches 0 of 3/(sin(3x))

x \to 0 lim (\frac{3}{sin ( 3 x )})

tangent of e^{-x}tangent of

e^{- x}

y^{^{'}} = 2 x + 4 y

integral of x/(sqrt(2+3x))

\int \frac{x}{2 + 3 x} d x

Frequently Asked Questions (FAQ)

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