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Popular >

integral of 2t^5

Solution

\int 2 t^{5} d t

Solution

\frac{t ^{6}}{3} + C

Solution steps

\int 2 t^{5} d t

Take the constant out:

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

= 2 \cdot \int t^{5} d t

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

= \frac{t ^{6}}{3} + C

Popular Examples

y^{^{'}} = - \frac{y}{2}

y^{''}-8y^'=-2x-1

y^{^{''}} - 8 y^{^{'}} = - 2 x - 1

derivative of 2x^3-3x^2+x-1 derivative of

2 x^{3} - 3 x^{2} + x - 1

inverse oflaplace s/(s^2-2s+3)inverse laplace

\frac{s}{s ^{2} - 2 s + 3}

(\partial)/(\partial x)(4x^2)

\frac{\partial}{\partial x} (4 x^{2})

Frequently Asked Questions (FAQ)

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