2 cos x – 1 dx = ? X

Q: X Sinx cos k dy 0. COs

A:

Q: π/2 cos² x dx

A: This question can be solved using the concept of properties of definite integrals.

Q: d dx [x² tan x] d sin x dx [1 + cos x] ₁ || 1 1 + cos x

A:

Q: 2 6. dx (sin x – cos x)?

A:

Q: e (a) S sin* x dx

A: Apply reduction formula:∫sinnx dx = n-1n∫sinn-2(x)dx - cosx. sinn-1(x)nwith n=4∫sin4x dx =…

Q: 4 sin“ x cos° x dx

A: As per our guidelines we are supposed to answer only one question and rest of the question will be…

Q: S cos³ x sin? x dx

A: Let, I = ∫cos3xsin2xdx ⇒I = ∫cosxcos2xsin2xdx ⇒I = ∫cosx1-sin2xsin2xdx ⇒I = ∫sin2x-sin4xcosdx

Q: dx a sin x+b cos x

A: Given problem:-

Q: cos s x dx 2. S: Vsin x

A:

Q: 3r cos(x) 1. Evaluate dx V1+ sin(x)

A:

Q: 1. cos?x sin x dy + (y cos³x – 1) dx = 0

A:

Q: 2. S(cos4x – sin*x) dx

A: we know that , a 2 - b 2 = ( a + b ) ( a - b ) And cos( 2x ) = cos 2 (x) - sin 2 (x )

Q: dx3 dx =| V9-x² cos? 1+sin x .2 dx = 4. 5. 6.

A: (4)∫xx-1dxLet x-1=udx=du=∫u+1udu=∫1 du +∫1udu=u+lnuu=x-1 therefore∫xx-1dx= (x-1)+ln(x-1)+ C

Q: 4 sin x dx (1 + cos x)²

A: Here we have to solve the given integration.

Q: dx 2. S; 3 cos x+4 sin x

A:

Q: 4. ["s 0 sinx + 2 cos x dx

A:

Q: 3 S (sin x)*.dx

A: Please refer the attached image for complete solution.

Q: (b) S – cos(x) + 5 sec x cos x dx

A: This is is integration question

Q: 10. sin x cos x dx

A: Given:- ∫ sin3(x) cos5(x) dx

Q: S sin'x·cos'x dx

A:

Q: 1 dx x +c, find- dx exactly where c is a constant. 5. If 1+cos x = tan 2 X 3+3 cos 4 n dx tam S c /+…

A: It is given that

Q: S3 cos x? dx Cos X 2.

A:

Q: n/2 „sinx dx=? cos x esinx dx=?

A: Solution...

Q: 1. sin° x cos x dx

A: sin3x cos4x  = sin(x) sin2(x) cos4(x)  = sin(x) (1 - cos2(x)) cos4(x)  = sin(x) (cos4(x) - cos6(x))…

Q: d (e* cos.x) cos x dx

A: ddx(excosx)=?

Q: (#5) ſ cos³ (x)sin*(x)dx =

A: Given the function,

Q: S (cos x – sin x)?dx

A: Calculus Question

Q: S S som'e dx cos'x

A: Perform integration

Q: 3. sin x cos x dx

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dy +(cos* r)y=1. dx 3 Solve cosa sin x

A:

Q: cos'x sm'e dx

A:

Q: (2 cos x + 7 sin x) dx

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

Q: 3. S cos? x dx 1+sin x க

A:

Q: d dx et ex sin x + e* cos x

A:

Q: S cos 8x dx

A:

Q: cos x 6) dx is equal to sin x A. In/2 В. Inv3 C. In" D. In e

A: The  given integral is ∫π4π2cosxsinxdx

Q: 4x Cos x dx b.

A: Given :

Q: Sn cos® x dx

A:

Q: dx 5+4 cos x

A:

Q: 1. S 2x sin-1 x? dx.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Evaluate the integral.

A: Given: I=∫0π4xsinxcos3xdx

Q: •/2 sin x cos x dx

A: To find:

Q: Evaluate the following:

A: Given:∫0π2sinx1+cosx dx

Q: dx It sin x-cos x COS

A: To evaluate:∫dx1+sinx-cosx Solution: We know,cos2x=1-tan2x1+tan2x     ...(1)sin2x=2tanx1+tan2x…

Q: 5 S'sin (x) dx

A:

Q: S cos(2x)e2× dx

A:

Q: d le" cos.x) cOS x dx

A: Given ,  d/dx(ex cosx)  We know that  d/dx(uv) = u'v + uv'  Here ,  u = ex and v = cosx Then ,

Q: sec x dx cos(2x +a)+ COS a

A: Introduction :

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.