Tan (  pi/2 - x ) =

Q: cos" x sin xdx

A: We need to evaluate the following integral I = ∫cos7x sinx dx…

Q: Evaluate

A: Given,         ∫tan23xdx

Q: sinh-1 x dx

A:

Q: 1 + tan² dx

A:

Q: 8 sint csc x dx

A:

Q: Evaluate d -tan − ¹ (√x + 7) = dx

A:

Q: cos 2X 80 dx csc (x) sec (X) CSC

A:

Q: evaluate the integral.

A:

Q: (cse x – tan x)² dx

A: Given, ∫cscx-tanx2dx  We have to do the integration

Q: dx sinh x - cosh x

A: To Evaluate: ∫dxsinhx-coshx Concept: i. ∫afxdx=a∫fxdxii. ∫exdx=ex+C

Q: sin(3x)e°*dx

A:

Q: x sin 4x2 dx

A: Integration is a process of finding the antiderivative of a function. There are basically two types…

Q: x sin 3x² dx

A: Our Aim is to integrate the following integral given below:-∫x sin (3x2) dx -(i)

Q: cos x- sin dx 1- sin 2x

A:

Q: 4 sin-lx dx X.

A:

Q: sin 2x - dx costx + cos?x

A: Given

Q: x sin-x dx

A:

Q: Find ∫(tan3 x/ √sec x) dx.

A:

Q: cos-1(x) dx

A:

Q: y=ln|sec3x + tan3x|

A:

Q: x sin(2x2)dx

A: We have to find the integral.

Q: sin x dx 2- cos²x CoS

A:

Q: fim Sin (x-1) メキX-2 2

A: We have to evaluate limx→1sinx−1x2+x−2. If we substitute the limit then it is of the form 00, which…

Q: [sinh(x)(x² + 7*)] dx a.

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the…

Q: 3+ cos(log, x) xp- x sin?(log, x)

A: Given I=∫3+cos(log4x)x sin2(log4x)dx Let assume log4x=t ⇒1x ln 4dx=dt⇒dxx=ln 4 dt

Q: tan-1 dx

A: Given data: The given integral is I=∫tan-1xx2dx. The given integral can be evaluated by integration…

Q: is x12 an even or odd function? Is sin x2 an even or odd function?

A: Note that -x12=x12. Thus, x12 is an even function.

Q: ∫√1 - sin^2 x dx

A:

Q: sin10 x cos x dx.

A:

Q: | sin´x-cos²x dx

A:

Q: tan 2x dx 2. S (3+ln cos 2x)6

A:

Q: cosx -dx 5+ sin(x) 5.

A: Given: I=∫cosx5+sinxdx For evaluating given integral, we substitute sinx=t…

Q: e2x sin(5x) dx

A: Given,  ∫e2x sin(5x) dx

Q: tan-1x dx. 1 + x2 Use an appropriate substitution to solve

A:

Q: -x sinx dx

A: Given integral

Q: Differentiate  a) y= ln(tan-1x)

A: Differentiate    a) y= ln(tan-1x)

Q: [(csc 2x log tan x) + (sin 3x cos 3x)]dx

A: Given  The integration is ∫-π6π4csc(2xlog(tan x) +(sin 3x cos 3x)  dx

Q: 2 tan-1(x)dx =

A:

Q: S tan-1(bx) dx

A:

Q: esecx+ln tanx 9. cos x

A: topic - indefinite integral

Q: sinh-1 x dx.

A: We can find the answer as below

Q: tan-x dx

A:

Q: Find ∫x2 sin x dx.

A:

Q: find the implicit formula of sinxy=x+y

A: Given,

Q: S(tan 3x – sin? 2x tan 3x)dx

A:

Q: Evaluate  ∞  ∫ tan^-1 (x) dx  -∞

A:

Q: P3: | tan3 3x sec 3x dx

A: To evaluate: I=∫tan33x sec63x dx Substitute 3x=u⇒3dx=du⇒dx=du3 then: I=∫tan3u sec6u du3=13∫sec5u…

Q: cos x sin xdx

A:

Q: Evaluate sin(ln æ) dx .

A:

Q: sin 2x -dx costx+ cos?x

A: