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Popular >

integral of 3sqrt(y)

Solution

\int 3 y d y

Solution

2 y^{\frac{3}{2}} + C

Solution steps

\int 3 y d y

Take the constant out:

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

= 3 \cdot \int y d y

Apply the Power Rule

: \frac{2}{3} y^{\frac{3}{2}}

= 3 \cdot \frac{2}{3} y^{\frac{3}{2}}

Simplify

3 \cdot \frac{2}{3} y^{\frac{3}{2}} : 2 y^{\frac{3}{2}}

= 2 y^{\frac{3}{2}}

Add a constant to the solution

= 2 y^{\frac{3}{2}} + C

Graph

Popular Examples

integral of x/((x+1)^2(x-1))

\int \frac{x}{( x + 1 ) ^{2} ( x - 1 )} d x

integral of 1/(a^2x^2+b^2)

\int \frac{1}{a ^{2} x ^{2} + b ^{2}} d x

integral of x^5sqrt(x^6+5)

\int x^{5} x^{6} + 5 d x

integral of (9x^2+6x+3)/(x^3+x^2+x+1)

\int \frac{9 x ^{2} + 6 x + 3}{x ^{3} + x ^{2} + x + 1} d x

integral of 8xln(4x)

\int 8 x ln (4 x) d x

Frequently Asked Questions (FAQ)

What is the integral of 3sqrt(y) ?
The integral of 3sqrt(y) is 2y^{3/2}+C