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Popular >

integral of 7t^4

Solution

\int 7 t^{4} d t

Solution

\frac{7 t ^{5}}{5} + C

Solution steps

\int 7 t^{4} d t

Take the constant out:

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

= 7 \cdot \int t^{4} d t

Apply the Power Rule

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

= 7 \cdot \frac{t ^{5}}{5}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{7 t ^{5}}{5}

Add a constant to the solution

= \frac{7 t ^{5}}{5} + C

Graph

Popular Examples

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

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\frac{0.07 e ^{x}}{sin ( x )}

sum from k=1 to infinity of k/(7^k)

k = 1 \sum \infty \frac{k}{7 ^{k}}

derivative of x(arcsin(x)^2)

\frac{d}{d x} (x (arcsin (x))^{2})

derivative of 8e^x derivative of

8 e^{x}

Frequently Asked Questions (FAQ)

What is the integral of 7t^4 ?
The integral of 7t^4 is (7t^5)/5+C