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Popular >

integral of 7x^6

Solution

\int 7 x^{6} d x

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

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

= 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

Popular Examples

derivative of 10xe^x derivative of

10 x e^{x}

derivative of 1/18 (e^{9x}+e^{-9x})

\frac{d}{d x} (\frac{1}{18} (e^{9 x} + e^{- 9 x}))

4 y^{^{'}} + y = 0

tangent of f(x)=x^2+8,(-2,12)tangent of

f (x) = x^{2} + 8, (- 2, 12)

d/(d{y)}(-({y})/(({x)^2+{y}^2+{z}^2)^{3/2}})

\frac{d}{d y} (- \frac{y}{( x ^{2} + y ^{2} + z ^{2} ) ^{\frac{3}{2}}})

Frequently Asked Questions (FAQ)

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