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Popular >

integral of 5a^2x^6

Solution

\int 5 a^{2} x^{6} d x

Solution

\frac{5 a ^{2} x ^{7}}{7} + C

Solution steps

\int 5 a^{2} x^{6} d x

Take the constant out:

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

= 5 a^{2} \cdot \int x^{6} d x

Apply the Power Rule

: \frac{x ^{7}}{7}

= 5 a^{2} \frac{x ^{7}}{7}

Multiply fractions:

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

= \frac{5 a ^{2} x ^{7}}{7}

Add a constant to the solution

= \frac{5 a ^{2} x ^{7}}{7} + C

Graph

Popular Examples

sum from n=1 to infinity of (n!)/(101^n)

n = 1 \sum \infty \frac{n !}{10 1 ^{n}}

sum from n=1 to infinity of 1/(e^{2n-1)}

n = 1 \sum \infty \frac{1}{e ^{2 n - 1}}

derivative of 1/(x^2-1/2)derivative of

\frac{1}{x ^{2} - \frac{1}{2}}

integral of (x+3)/(x^2+25)

\int \frac{x + 3}{x ^{2} + 25} d x

limit as x approaches 6 of (1-x)/(6-x)

x \to 6 lim (\frac{1 - x}{6 - x})

Frequently Asked Questions (FAQ)

What is the integral of 5a^2x^6 ?
The integral of 5a^2x^6 is (5a^2x^7)/7+C