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Popular >

integral of sqrt(t^2)

Solution

\int t^{2} d t

Solution

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

Solution steps

\int t^{2} d t

t^{2} = (t),

assuming

t \geq 0

= \int t d t

Apply the Power Rule

: \frac{t ^{2}}{2}

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

Add a constant to the solution

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

Popular Examples

integral of (3x^2)/((x^3+1)^3)

\int \frac{3 x ^{2}}{( x ^{3} + 1 ) ^{3}} d x

integral of x/(x^3+2)

\int \frac{x}{x ^{3} + 2} d x

integral of 5xsqrt(x-2)

\int 5 x x - 2 d x

integral of (8x+10)(7-2x^2-5x)^3

\int (8 x + 10) (7 - 2 x^{2} - 5 x)^{3} d x

integral of-0.08x+64

\int - 0.08 x + 64 d x

Frequently Asked Questions (FAQ)

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