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Popular >

integral of 4x^7

Solution

\int 4 x^{7} d x

Solution

\frac{x ^{8}}{2} + C

Solution steps

\int 4 x^{7} d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{8}}{8}

= 4 \cdot \frac{x ^{8}}{8}

Simplify

4 \cdot \frac{x ^{8}}{8} : \frac{x ^{8}}{2}

= \frac{x ^{8}}{2}

Add a constant to the solution

= \frac{x ^{8}}{2} + C

Popular Examples

derivative of f(x)=0.0622x^2+1.1119x+2.3979 derivative of

f (x) = 0.0622 x^{2} + 1.1119 x + 2.3979

derivative of y=x^5 derivative of

y = x^{5}

integral of (10)/x

\int \frac{10}{x} d x

derivative of R(q)=(q^2+1)^4 derivative of

R (q) = (q^{2} + 1)^{4}

limit as x approaches 3+of (4x)/(x-3)

x \to 3 + lim (\frac{4 x}{x - 3})

Frequently Asked Questions (FAQ)

What is the integral of 4x^7 ?
The integral of 4x^7 is (x^8)/2+C