Calculus Examples

$\frac{- 6}{\sqrt{1 - x^{2}}}$

Step 1

Move the negative in front of the fraction.

$\int - \frac{6}{\sqrt{1 - x^{2}}} d x$

Step 2

Since $- 1$ is constant with respect to $x$ , move $- 1$ out of the integral.

$- \int \frac{6}{\sqrt{1 - x^{2}}} d x$

Step 3

Since $6$ is constant with respect to $x$ , move $6$ out of the integral.

$- (6 \int \frac{1}{\sqrt{1 - x^{2}}} d x)$

Step 4

Write the expression using exponents.

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Step 4.1

Multiply $6$ by $- 1$ .

$- 6 \int \frac{1}{\sqrt{1 - x^{2}}} d x$

Step 4.2

Rewrite $1$ as $1^{2}$ .

$- 6 \int \frac{1}{\sqrt{1^{2} - x^{2}}} d x$

Step 5

The integral of $\frac{1}{\sqrt{1^{2} - x^{2}}}$ with respect to $x$ is $\arcsin (x)$

$- 6 (\arcsin (x) + C)$

Step 6

Simplify.

$- 6 \arcsin (x) + C$