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Popular >

integral of 3/4 x^4

Solution

\int \frac{3}{4} x^{4} d x

Solution

\frac{3 x ^{5}}{20} + C

Solution steps

\int \frac{3}{4} x^{4} d x

Take the constant out:

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

= \frac{3}{4} \cdot \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= \frac{3}{4} \cdot \frac{x ^{5}}{5}

Simplify

\frac{3}{4} \cdot \frac{x ^{5}}{5} : \frac{3 x ^{5}}{20}

= \frac{3 x ^{5}}{20}

Add a constant to the solution

= \frac{3 x ^{5}}{20} + C

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y^{''}-3y^'-10y=4e^{4t},y(0)=0,y^'(0)=0

y^{^{''}} - 3 y^{^{'}} - 10 y = 4 e^{4 t}, y (0) = 0, y^{^{'}} (0) = 0

Frequently Asked Questions (FAQ)

What is the integral of 3/4 x^4 ?
The integral of 3/4 x^4 is (3x^5)/(20)+C