Question

Find f.

f" (θ) = sin θ + cos θ,   f (0) = 3,  f ' (0) = 4

Answer 1

Step 1:

The function is .

The anti derivative of the function means integration.

.

Apply integrate on each side with respect to .

Apply the trigonometric integration:

.

Step 2:

.

Substitute in above function.

Substitute in function .

Step 3:

Apply integrate on each side with respect to .

Apply the trigonometric integration:

Apply the constant rule of integration: .

.

Substitute in above function.

Substitute in function .

.

Solution :

.