Calculus

Evaluate the indefinite integral

integral sec(t/2) dt=

a)ln |sec t +tan t| +C
b)ln |sec (t/2) +tan (t/2)| +C
c)2tan^2 (t/2)+C
d)2ln cos(t/2) +C
e)2ln |sec (t/2)+tan (t/2)| +C

1. 👍
2. 👎
3. 👁
1. integral sec(t/2) dt =
2*integral sec(t/2) d(t/2)=
2*ln[sec (t/2) + tan (t/2)] +C

1. 👍
2. 👎
2. Thanks

1. 👍
2. 👎

Similar Questions

1. math

Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral 2(2x+6)^5 dx, u=2x+6

2. Math

Starting from 130 feet away, a person on a bicycle rides towards a checkpoint and then passes it. The rider is traveling as a constant rate of 25 feet per second. The distance between the bicycle and the checkpoint is given by the

3. Calculus

Solve: The posistion of a particle moving along a coordinate line is s=sqrt(5+4t), with s in meters and t in seconds. Find the particle's velocity at t=1 sec. A) 2/3 m/sec B) 4/3 m/sec C) -1/3 m/sec D) 1/6 m/sec Thank you!

4. inverse trig functions

evaluate the following expressions: tan(sec^-1(5/3)) tan(sec^-1(25/7)) cot(csc^-1(5/3)) i know the answers.. i jus don't know how to solve them =( PLEASE help me I assume your sec^-1 notation denot4es the arcsecant function, etc.

1. algebra. help!

Start from 110 feet away, a person on a bicycle rides towards a checkpoint and then passes it. The rider is travelling at a constant rate of 30 feet per second. The distance between the bicycle and the checkpoint is given by the

2. Calculus - Integrals

I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S-1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance.

3. Calculus

Given f '(x) = (x − 4)(4 − 2x), find the x-coordinate for the relative maximum on the graph of f(x). a) 12 m/sec; 22 m/sec^2 b) 22 m/sec; 18 m/sec^2 c) 22 m/sec; 6 m/sec^2 d) 14 m/sec; 3 m/sec^2

4. Calculus

Calculate the following integral: ∫ sec^4 (3x)/ tan^3 (3x) dx For this one, can I bring up the tan to tan^-3?

1. Calc

How do I find the indefinite integral of: sec(y)(tan(y) - sec(y)) dy

2. math

Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral cos(9x) dx, u=9x

3. chemistry; kinetics

Use the following table to determine the average rate during the period 800 to 1200 seconds for the decomposition of H2O2. 2 H2O2(l) → 2 H2O(l) + O2(g) Time (sec) (H2O2)M 0 2.32 400 1.72 800 1.30 1200 0.98 1600 0.73 a] 1.2 x

4. Calculus

Using the Fundamental theorem of Calculus find the derivative of F(x) = sec(3x) + ∫ [e^-(t^(2))] Integral from ( 0 to tan(3x) ) f(x) = sec(x) f'(x)= sec(x)tan(x) and according to the fundamental ToC, u plug the x value of the