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Popular >

integral of (4t^3)

Solution

\int (4 t^{3}) d t

Solution

t^{4} + C

Solution steps

\int 4 t^{3} d t

Take the constant out:

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

= 4 \cdot \int t^{3} d t

Apply the Power Rule

: \frac{t ^{4}}{4}

= 4 \cdot \frac{t ^{4}}{4}

Simplify

4 \cdot \frac{t ^{4}}{4} : t^{4}

= t^{4}

Add a constant to the solution

= t^{4} + C

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\int \frac{e ^{x}}{e ^{x} + 3} d x

integral of sin(3x)sin(4x)

\int sin (3 x) sin (4 x) d x

derivative of (sqrt(x^2+1)/(\sqrt[3]{x^2+1)})

Frequently Asked Questions (FAQ)

What is the integral of (4t^3) ?
The integral of (4t^3) is t^4+C