Evaluate the integral.\\ $\int_0^{\pi/2} e^{\sin t} \cos t \, dt$
Added by Sarah K.
Close
Step 1
First, we can use the product-to-sum formula to rewrite the integrand as: esin(t)cos(t) = (1/2)(e^(isin(t)) + e^(-isin(t))) Show more…
Show all steps
Your feedback will help us improve your experience
Ben Blakesley and 62 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Evaluate the integral T/2 (t2 S 4) cos t dt
Madhur L.
Evaluate the integral. $$ \int \cos ^{2}(\sin t) \cos t d t $$
TECHNIQUES OF INTEGRATION
Trigonometric Integrals
Evaluate the indefinite integral. $ \displaystyle \int \cos (\pi t/2) \, dt $
Integrals
The Substitution Rule
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD