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Popular >

integral of 3*x^2

Solution

\int 3 \cdot x^{2} d x

Solution

x^{3} + C

Solution steps

\int 3 x^{2} d x

Take the constant out:

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

= 3 \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

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

Simplify

3 \cdot \frac{x ^{3}}{3} : x^{3}

= x^{3}

Add a constant to the solution

= x^{3} + C

Popular Examples

integral of ((4x-5))/(x^2+8x+7)

\int \frac{( 4 x - 5 )}{x ^{2} + 8 x + 7} d x

integral of 7/15 x^{15/8}+C

\int \frac{7}{15} x^{\frac{15}{8}} + C d x

integral of 8x+3sin(x)

\int 8 x + 3 sin (x) d x

integral of (sin(θ))/(3+cos^2(θ))

\int \frac{sin ( θ )}{3 + cos ^{2} ( θ )} d θ

integral of 9/(x^2sqrt(9-x^2))

\int \frac{9}{x ^{2} 9 - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 3*x^2 ?
The integral of 3*x^2 is x^3+C