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Popular Calculus >

integral of 5pit^3

Solution

\int 5 π t^{3} d t

Solution

\frac{5 π t ^{4}}{4} + C

Solution steps

\int 5 π t^{3} d t

Take the constant out:

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

= 5 π \cdot \int t^{3} d t

Apply the Power Rule

= 5 π \frac{t ^{4}}{4}

Multiply fractions:

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

= \frac{5 π t ^{4}}{4}

Add a constant to the solution

= \frac{5 π t ^{4}}{4} + C

Graph

Popular Examples

integral of 16x^7

\int 16 x^{7} d x

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

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

integral of x^6ln(x)+4xsin(3x)

\int x^{6} ln (x) + 4 x sin (3 x) d x

integral of (sin^2(x)-4)/(sin(x)+2)

\int \frac{sin ^{2} ( x ) - 4}{sin ( x ) + 2} d x

integral of 1/(x^3-7x+6)

\int \frac{1}{x ^{3} - 7 x + 6} d x

Frequently Asked Questions (FAQ)

What is the integral of 5pit^3 ?
The integral of 5pit^3 is (5pit^4)/4+C