To find the integral of sin(x)cos(sin(x)) dx, we can use the method of substitution.

Step 1: Let u = sin(x). Then, du = cos(x) dx.

Step 2: Substitute u and du into the integral. The integral becomes ∫u du.

Step 3: The integral of u with respect to u is (1/2)u^2 + C, where C is the constant of integration.

Step 4: Substitute u back into the integral. The final answer is (1/2)sin^2(x) + C.

Question

To find the integral of sin(x)cos(sin(x)) dx, we can use the method of substitution.

Step 1: Let u = sin(x). Then, du = cos(x) dx.

Step 2: Substitute u and du into the integral. The integral becomes ∫u du.

Step 3: The integral of u with respect to u is (1/2)u^2 + C, where C is the constant of integration.

Step 4: Substitute u back into the integral. The final answer is (1/2)sin^2(x) + C.

Knowee AI · Accepted Answer

To find the integral of sin(x)cos(sin(x)) dx, we can use the method of substitution.

Step 1: Let u = sin(x). Then, du = cos(x) dx.

Step 2: Substitute u and du into the integral. The integral becomes ∫u du.

Step 3: The integral of u with respect to u is (1/2)u^2 + C, where C is the constant of integration.

Step 4: Substitute u back into the integral. The final answer is (1/2)sin^2(x) + C.

Find the integration of sin x cox(sin x)