Math / Calculus

Questionintegrate $\cos x$

Studdy Solution

STEP 1

1. We are asked to find the indefinite integral of the function $\cos x$ .
2. The integral is with respect to $x$ .

STEP 2

1. Recall the basic integral formula for $\cos x$ .
2. Apply the formula to find the integral.
3. Add the constant of integration.

STEP 3

Recall the basic integral formula:
The integral of $\cos x$ with respect to $x$ is $\sin x + C$ , where $C$ is the constant of integration.

STEP 4

Apply the formula:
$\int \cos x \, dx = \sin x + C$

STEP 5

Add the constant of integration:
The result of the integration is $\sin x + C$ .
The indefinite integral of $\cos x$ is:
$\boxed{\sin x + C}$

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Questionintegrate $\cos x$

Studdy Solution

STEP 1

1. We are asked to find the indefinite integral of the function $\cos x$ .
2. The integral is with respect to $x$ .

STEP 2

1. Recall the basic integral formula for $\cos x$ .
2. Apply the formula to find the integral.
3. Add the constant of integration.

STEP 3

Recall the basic integral formula:
The integral of $\cos x$ with respect to $x$ is $\sin x + C$ , where $C$ is the constant of integration.

STEP 4

Apply the formula:
$\int \cos x \, dx = \sin x + C$

STEP 5

Add the constant of integration:
The result of the integration is $\sin x + C$ .
The indefinite integral of $\cos x$ is:
$\boxed{\sin x + C}$

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Questionintegrate cos⁡x\cos xcosx

Studdy Solution

STEP 1

1. We are asked to find the indefinite integral of the function cos⁡x\cos xcosx.2. The integral is with respect to xxx.

STEP 2

1. Recall the basic integral formula for cos⁡x\cos xcosx.2. Apply the formula to find the integral.3. Add the constant of integration.

STEP 3

Recall the basic integral formula:The integral of cos⁡x\cos xcosx with respect to xxx is sin⁡x+C\sin x + Csinx+C, where CCC is the constant of integration.

STEP 4

Apply the formula:∫cos⁡x dx=sin⁡x+C\int \cos x \, dx = \sin x + C∫cosxdx=sinx+C

STEP 5

Add the constant of integration:The result of the integration is sin⁡x+C\sin x + Csinx+C. The indefinite integral of cos⁡x\cos xcosx is:sin⁡x+C\boxed{\sin x + C}sinx+C​

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Questionintegrate $\cos x$

1. We are asked to find the indefinite integral of the function $\cos x$ .
2. The integral is with respect to $x$ .

1. Recall the basic integral formula for $\cos x$ .
2. Apply the formula to find the integral.
3. Add the constant of integration.

Recall the basic integral formula:
The integral of $\cos x$ with respect to $x$ is $\sin x + C$ , where $C$ is the constant of integration.

Apply the formula:
$\int \cos x \, dx = \sin x + C$

Add the constant of integration:
The result of the integration is $\sin x + C$ .
The indefinite integral of $\cos x$ is:
$\boxed{\sin x + C}$