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Popular >

integral of 7x^3

Solution

\int 7 x^{3} d x

Solution

\frac{7 x ^{4}}{4} + C

Solution steps

\int 7 x^{3} d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{4}}{4}

= 7 \cdot \frac{x ^{4}}{4}

Multiply fractions:

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

= \frac{7 x ^{4}}{4}

Add a constant to the solution

= \frac{7 x ^{4}}{4} + C

Popular Examples

tangent of f(x)=-5x^2+x,\at x=3 tangent of

f (x) = - 5 x^{2} + x, at x = 3

integral from 0 to 1 of (sqrt(x)(x+1))

\int_{0}^{1} (x (x + 1)) d x

derivative of-2/(5x)derivative of

- \frac{2}{5 x}

tangent of f(x)=3x+6sqrt(x),(1,9)tangent of

f (x) = 3 x + 6 x, (1, 9)

integral from 5 to infinity of e^{-x/3}

\int_{5}^{\infty} e^{- \frac{x}{3}} d x

Frequently Asked Questions (FAQ)

What is the integral of 7x^3 ?
The integral of 7x^3 is (7x^4)/4+C