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Popular >

integral of 7t^2

Solution

\int 7 t^{2} d t

Solution

\frac{7 t ^{3}}{3} + C

Solution steps

\int 7 t^{2} d t

Take the constant out:

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

= 7 \cdot \int t^{2} d t

Apply the Power Rule

: \frac{t ^{3}}{3}

= 7 \cdot \frac{t ^{3}}{3}

Multiply fractions:

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

= \frac{7 t ^{3}}{3}

Add a constant to the solution

= \frac{7 t ^{3}}{3} + C

Popular Examples

integral of (e^{3x})/(4-e^{3x)}

\int \frac{e ^{3 x}}{4 - e ^{3 x}} d x

integral of ((x^4-2x^3-27))/(x(x^2+9)^2)

\int \frac{( x ^{4} - 2 x ^{3} - 27 )}{x ( x ^{2} + 9 ) ^{2}} d x

integral of (2a-3b+5c)^2

\int (2 a - 3 b + 5 c)^{2} d x

integral of x^2*ln((x-1)/x)

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

integral of (z^2)/(z^2+a^2)

\int \frac{z ^{2}}{z ^{2} + a ^{2}} d z

Frequently Asked Questions (FAQ)

What is the integral of 7t^2 ?
The integral of 7t^2 is (7t^3)/3+C