Evaluate (* VSinx dx Vsinx+VCosx

Q: Evaluate 2x In(т)dz

A:

Q: Evaluate S Vx – x² dx -

A:

Q: S Vtanx dx

A:

Q: Evaluate: -ld. dx 1 2 5.027 2 5.205 2 5.025 2 6.025

A:

Q: #6) Evaluate: ,(2x³ + 10x + 1)dx

A: We are asked to evaluate the integral.

Q: 3- fx³ In|x| dx

A: The given integral is ∫x3 lnx dx

Q: . Integrate: [x7*dx

A:

Q: Find + 5x +7) dx 22 .7 + 5x + 7) dx 3 22

A:

Q: 3x" dx=

A: Use formula to calculate

Q: Evaluate dx V4x-x

A:

Q: Evaluate ya ă dx

A:

Q: Evaluate ∫ csc24x dx

A:

Q: Evaluate /" In Vx dx.

A: Given integral is

Q: Evaluate 1.S 213x-1 dx

A:

Q: Evaluate. .8 [ x - 2)dx

A:

Q: Evaluate ſ csc* x dx

A: Formula: csc2x = 1+cot2x d/dx(Cotx) = -csc2xdx

Q: Integrate Sx? + 3x² + 6x) dx

A:

Q: SVa Inx dx

A: ∫xlnx dxBy using integration by parts=lnx∫x dx - ∫ddxlnx∫x dx

Q: 4. S Vcos²2x + 2sin²2x – 1 dx |

A:

Q: 1 Evaluate (-, dx х-х3

A:

Q: Evaluate: 9 x° e- dx = 3

A: Applying product rule, ∫9x3e-xdx=9x3∫e-xdx+∫d(9x3)dx∫e-xdx dx

Q: 3x*+dx

A: We have to evaluate the given integral, ∫3x11 dx

Q: What is ∫ e3x dx?

A: Given:     Use method of substitution to solve.

Q: Evaluate: dx -4x-)

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Evaluate S(4sinx + 3cosx - (5csc^2 x)dx

A: From the given problem:   I=∫4sinx+3cosx-5csc2xdx   From the sum rule:   ∫fx±gxdx=∫fxdx±∫gxdx   So,…

Q: Evaluate. 20) X +9 -dx X +5

A:

Q: Evaluate fx Vx + 10 dx

A:

Q: Evaluate VSinx dx Vsinx+VCosx

A:

Q: SVx In(x)dx

A:

Q: Evaluate x2 dx

A: Use rules of integration

Q: . Evaluate 1 4-x² dx

A:

Q: Evaluate /x* V5 - x*dx

A: We have to evaluate the integral: ∫x35-x2 dx Rewriting the integral, ∫x35-x2 dx=∫x2x5-x2 dx Now…

Q: Evaluate csc² √2x √x [³ dx.

A: Given data:- ∫csc22xxdx

Q: Evaluate ∫(x + sec2(πx))dx

A: The integral given is , ∫x+sec2πx dx Expand the integral ,  ∫x+sec2πx dx=∫x dx+∫sec2πx dx Solving…

Q: Evaluate: S Vx(x – 5)dx

A:

Q: Y"+y=secxtanx

A: Given, y'' + y = secx tanx This is a second order linear, non-homogeneous ODE. We can write the…

Q: Evaluate: [(5x* - 2х* + 3х - 4)dx

A: Evaluating the integral

Q: Evaluate S(4x³ + x)(4x² + 1)/2 dx.

A:

Q: integrate e^(8x+e^(8x))

A:

Q: Sinvy dy 3.

A: 3 Given integral is ∫lnydy. We have to evaluate the given integral. Use integration by part formula,…

Q: Evaluate fx² cosh x dx

A:

Q: Evaluate ∫dx / secx+1.

A:

Q: Find ?Va² - x2 dx

A: Explanation of the answer is as follows

Q: sechvx tanhyxdx S Vx

A: Integration is a way of adding slices to find the whole. Substituting and using integration by parts…

Q: Find (4x + 2x³) dx

A:

Q: Evaluate In(x2-10x) dx

A:

Q: Evaluate dx (1-x²)

A: ∫x21-x25dx=-∫x2x2-15dx                         =-∫x2x-15x+15dxUsing partial fraction expansion for…

Q: Evaluate dx.

A:

Q: evaluat Ssinhx dx'

A:

Q: fx*( +In x)dx

A: Given integral is ∫xx(1+lnx)dx We have to integrate this and find the value. The formula's we will…

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.