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Popular >

integral of 3t^5

Solution

\int 3 t^{5} d t

Solution

\frac{t ^{6}}{2} + C

Solution steps

\int 3 t^{5} d t

Take the constant out:

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

= 3 \cdot \int t^{5} d t

Apply the Power Rule

: \frac{t ^{6}}{6}

= 3 \cdot \frac{t ^{6}}{6}

Simplify

3 \cdot \frac{t ^{6}}{6} : \frac{t ^{6}}{2}

= \frac{t ^{6}}{2}

Add a constant to the solution

= \frac{t ^{6}}{2} + C

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\frac{d}{d x} (\frac{5}{x - 3})

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\int_{0}^{2} e^{3 x} d x

integral of (5x^4-3x^2+2x+6)

\int (5 x^{4} - 3 x^{2} + 2 x + 6) d x

Frequently Asked Questions (FAQ)

What is the integral of 3t^5 ?
The integral of 3t^5 is (t^6)/2+C