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Popular Calculus >

integral of 7x^6

Solution

integral

7 x^{6}

Solution

x^{7} + C

Solution steps

\int 7 x^{6} d x

Take the constant out:

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

= 7 \cdot \int x^{6} d x

Apply the Power Rule

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

Simplify

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

= x^{7}

Add a constant to the solution

= x^{7} + C

Graph

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in t e g r a l e^{1 - x}

integral of 2/((x*sqrt(1+x)))

in t e g r a l \frac{2}{( x \cdot 1 + x )}

Frequently Asked Questions (FAQ)

What is the integral of 7x^6 ?
The integral of 7x^6 is x^7+C