hrostentsp6

2021-11-21

Find the indefinite integral $\int \mathrm{cos}h4xdx$

Cherry McCormick

Beginner2021-11-22Added 23 answers

Step 1

To find the indefinite integral.

Step 2

Given information:

$\int \mathrm{cos}h\left(4x\right)dx$

Formula used:

$\int \mathrm{cos}h\left(nv\right)dv=\frac{\mathrm{sin}h\left(nv\right)}{n}+C$

Step 3

Calculation:

$\int \mathrm{cos}h\left(4x\right)dx$

From formula,

$\int \mathrm{cos}h\left(4x\right)dx=\frac{\mathrm{sin}h\left(4x\right)}{4}+C$

This is the indefinite integral.

To find the indefinite integral.

Step 2

Given information:

Formula used:

Step 3

Calculation:

From formula,

This is the indefinite integral.

Stephanie Mann

Beginner2021-11-23Added 25 answers

Step 1: Regroup terms.

$\int h\mathrm{cos}4xdx$

Step 2: Use Constant Factor Rule:$\int cf\left(x\right)dx=c\int f\left(x\right)dx$ .

$h\int \mathrm{cos}4xdx$

Step 3: Use Integration by Substitution on$\int \mathrm{cos}4xdx$ .

Let u=4x, du=4 dx, then$dx=\frac{1}{4}du$

Step 4: Using u and du above, rewrite$\int \mathrm{cos}4xdx$ .

$\int \frac{\mathrm{cos}u}{4}du$

Step 5: Use Constant Factor Rule:$\int cf\left(x\right)dx=c\int f\left(x\right)dx$ .

$\frac{1}{4}\int \mathrm{cos}udu$

Step 6: Use Trigonometric Integration: the integral of$\mathrm{cos}u\text{}is\text{}\mathrm{sin}u$ .

$\frac{\mathrm{sin}u}{4}$

Step 7: Substitute u=4x back into the original integral.

$\frac{\mathrm{sin}4x}{4}$

Step 8: Rewrite the integral with the completed substitution.

$\frac{h\mathrm{sin}4x}{4}$

Step 9: Add constant.

$\frac{h\mathrm{sin}4x}{4}+C$

Step 2: Use Constant Factor Rule:

Step 3: Use Integration by Substitution on

Let u=4x, du=4 dx, then

Step 4: Using u and du above, rewrite

Step 5: Use Constant Factor Rule:

Step 6: Use Trigonometric Integration: the integral of

Step 7: Substitute u=4x back into the original integral.

Step 8: Rewrite the integral with the completed substitution.

Step 9: Add constant.

What is the area of the parallelogram with vertices A(-3, 0), B(-1, 5), C(7, 4), and D(5, -1)?

How to expand and simplify $2(3x+4)-3(4x-5)$?

Find an equation equivalent to ${x}^{2}-{y}^{2}=4$ in polar coordinates.

How to graph $r=5\mathrm{sin}\theta$?

How to find the length of a curve in calculus?

When two straight lines are parallel their slopes are equal.

A)True;

B)FalseIntegration of 1/sinx-sin2x dx

Converting percentage into a decimal. $8.5\%$

Arrange the following in the correct order of increasing density.

Air

Oil

Water

BrickWhat is the exact length of the spiraling polar curve $r=5{e}^{2\theta}$ from 0 to $2\pi$?

What is $\frac{\sqrt{7}}{\sqrt{11}}$ in simplest radical form?

What is the slope of the tangent line of $r=-2\mathrm{sin}\left(3\theta \right)-12\mathrm{cos}\left(\frac{\theta}{2}\right)$ at $\theta =\frac{-\pi}{3}$?

How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3?

Use the summation formulas to rewrite the expression $\Sigma \frac{2i+1}{{n}^{2}}$ as i=1 to n without the summation notation and then use the result to find the sum for n=10, 100, 1000, and 10000.

How to calculate the right hand and left hand riemann sum using 4 sub intervals of f(x)= 3x on the interval [1,5]?