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Popular >

integral of 3x^7

Solution

\int 3 x^{7} d x

Solution

\frac{3 x ^{8}}{8} + C

Solution steps

\int 3 x^{7} d x

Take the constant out:

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

= 3 \cdot \int x^{7} d x

Apply the Power Rule

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

= 3 \cdot \frac{x ^{8}}{8}

Multiply fractions:

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

= \frac{3 x ^{8}}{8}

Add a constant to the solution

= \frac{3 x ^{8}}{8} + C

Graph

Popular Examples

sum from n=0 to infinity of-6*(6/7)^n

n = 0 \sum \infty - 6 \cdot (\frac{6}{7})^{n}

derivative of f(x)=(x^2+1)derivative of

f (x) = (x^{2} + 1)

limit as x approaches 0 of 4/x-4cot(x)

x \to 0 lim (\frac{4}{x} - 4 cot (x))

limit as x approaches 6.2 of 7.2x+1.8

x \to 6.2 lim (7.2 x + 1.8)

limit as x approaches 4 of (x^2-6)/(x-9)

x \to 4 lim (\frac{x ^{2} - 6}{x - 9})

Frequently Asked Questions (FAQ)

What is the integral of 3x^7 ?
The integral of 3x^7 is (3x^8)/8+C