Question

using reduction formula*** 13. Evaluate, ∫ sin 5x cos x dx. Also prove that, ∫ sin...

using reduction formula***

13. Evaluate, ∫ sin 5x cos x dx. Also prove that, ∫ sin mx cos nx dx = 0

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove that the family of trigonometric functions { 1, cos x, sin x, ..., cos nx,...
Prove that the family of trigonometric functions { 1, cos x, sin x, ..., cos nx, sin nx, ...} form an orthogonal system on [-pi,pi] prove that the following orthogonality relations hold integral from -pi to pi of sin nx dx = 0 and integral from -pi to pi of cos nx dx = 0
Evaluate C (y + 6 sin(x)) dx + (z2 + 2 cos(y)) dy + x3 dz...
Evaluate C (y + 6 sin(x)) dx + (z2 + 2 cos(y)) dy + x3 dz where C is the curve r(t) = sin(t), cos(t), sin(2t) , 0 ≤ t ≤ 2π. (Hint: Observe that C lies on the surface z = 2xy.) C F · dr =
Question B:Consider the integral of sin(x) * cos(x) dx. i) Do it using integration by parts;...
Question B:Consider the integral of sin(x) * cos(x) dx. i) Do it using integration by parts; you might need the “break out of the loop” trick. I would do u=sin(x), dv=cos(x)dx ii) Do it using u-substitution. I would do u=cos(x) iii) Do it using the identity sin(x)*cos(x)=0.5*sin(2x) iv) Explain how your results in parts i,ii,iii relate to each other.
y = (6 +cos(x))^x Use Logarithmic Differentiation to find dy/dx dy/dx = Type sin(x) for sin(x)sin(x)...
y = (6 +cos(x))^x Use Logarithmic Differentiation to find dy/dx dy/dx = Type sin(x) for sin(x)sin(x) , cos(x) for cos(x)cos(x), and so on. Use x^2 to square x, x^3 to cube x, and so on. Use ( sin(x) )^2 to square sin(x). Use ln( ) for the natural logarithm.
Integrate it using the table of integration: ∫e−5x cos(x)dx . Can you integrate it using some...
Integrate it using the table of integration: ∫e−5x cos(x)dx . Can you integrate it using some other method?
Problem 7. Consider the line integral Z C y sin x dx − cos x dy....
Problem 7. Consider the line integral Z C y sin x dx − cos x dy. a. Evaluate the line integral, assuming C is the line segment from (0, 1) to (π, −1). b. Show that the vector field F = <y sin x, − cos x> is conservative, and find a potential function V (x, y). c. Evaluate the line integral where C is any path from (π, −1) to (0, 1).
Prove that the integral from 0 to Infinity (sin^2(x)e^-x)dx converges using the comparison test.
Prove that the integral from 0 to Infinity (sin^2(x)e^-x)dx converges using the comparison test.
Using the Taylor series for e^x, sin(x), and cos(x), prove that e^ix = cos(x) + i...
Using the Taylor series for e^x, sin(x), and cos(x), prove that e^ix = cos(x) + i sin(x) (Hint: plug in ix into the Taylor series expansion for e^x . Then separate out the terms which have i in them and the terms which do not.)
Solve the following Differential equations a) x sin y dx + (x^2 + 1) cos y...
Solve the following Differential equations a) x sin y dx + (x^2 + 1) cos y dy = 0
. Explain why integral of (g(x) sin(x) dx) is equal to (- g(x) cos(x) + integral...
. Explain why integral of (g(x) sin(x) dx) is equal to (- g(x) cos(x) + integral of (g'(x) cos(x) dx))
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT