Evaluate the integral and find a + ß+p-o (1+ tan x)dx cos? xV5 – 3 tan2 x va Sa 1 arcsin 1 tan x) + 5-3 tan? x + C

Q: Assume b + 0 and compute -4 tan- (bx + c) dx . Your answer should be in terms of b and c. -4 tan-…

A: Given: ∫-4tan-1bx+cdx

Q: 5. Find the values of a and b such that dx tan 1 + sinx a + b . %3D

A: We need to integrate ∫11+sinxdx

Q: Evaluate: 2x +tan 2x 1/3 COS ,2 1+x? 1-x2 dx. e* +1 -1/3

A:

Q: tanx dx cos²x

A: Given that: ∫tanxcos2xdx

Q: Prove: sin (2 cosx) = 2x1-x

A:

Q: Evaluate cos³ (72) sin(7x)dr / COS³ + C

A:

Q: In ( tan x) -dx cos x

A:

Q: Use the method of substitution to evaluate | 2x cos x? dx.

A:

Q: The S- 3 dx is 5 sin 6x

A:

Q: 1+I dx Which one is the best substitution for evaluating the integral f cos Oz = u? Or = cos 20 I =…

A:

Q: Differentiate. sin(0) f(0) 1 + cos(0) f'(0) %3D II

A: Differentiate

Q: Show that COS x dx a² – x² sin a 2а where a is some positive number.

A:

Q: Using appropriate substitution, [sec (2x) + 1] tan(2x) dx is equal to

A:

Q: Evaluate Jx/2 6 sin x (cos x + 1)³ dx

A:

Q: 1. Evaluate 4 (sec²x tan²x ). dx

A: Use product rule of differentiation du·vdx=vdudx+udvdx. Use chain rule of differentiation…

Q: /2 cos x -dx- 1+(sin x)? Compute the integral

A: Consider the following definite integral: ∫0π2cosx1+sinx2dx Substitute sinx=u→cosxdx=du in the above…

Q: te: sec(5 x + 4) tan(5 x + 4) dæ

A:

Q: 3. Prove the identity tan * COS v t CSC x Sinx=2sinx

A: Prove the identity

Q: Evaluate | sin2x tan (sinx)dx

A:

Q: AN tan sec()dv A 2 2 2 14s 1YS

A: The given integral is,

Q: c. sin 2x: = 2 tan x 1+tan² x d. 2 cos x cos 2x+1 =secx ✓✓✓✓

A: