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Popular >

integral of 5t^4

Solution

\int 5 t^{4} d t

Solution

t^{5} + C

Solution steps

\int 5 t^{4} d t

Take the constant out:

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

= 5 \cdot \int t^{4} d t

Apply the Power Rule

: \frac{t ^{5}}{5}

= 5 \cdot \frac{t ^{5}}{5}

Simplify

5 \cdot \frac{t ^{5}}{5} : t^{5}

= t^{5}

Add a constant to the solution

= t^{5} + C

Popular Examples

integral of (x^2-12x-1)/((x-1)^2(x^2+1))

\int \frac{x ^{2} - 12 x - 1}{( x - 1 ) ^{2} ( x ^{2} + 1 )} d x

derivative of mx+c

\frac{d}{d x} (m x + c)

derivative of e^xsin(8x)

\frac{d}{d x} (e^{x} sin (8 x))

laplacetransform 1-2e^{-4t}laplace transform

1 - 2 e^{- 4 t}

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

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

Frequently Asked Questions (FAQ)

What is the integral of 5t^4 ?
The integral of 5t^4 is t^5+C