Find an integral expression equal to: 2 2 lim k+ k=1

Q: Find the integral of: Зx2 — 4 - x2

A: From the given problem:   I=∫3x2-4x2dx ....(1) Now simplifying: 3x2-4x2=3-4x2 Now substitute this…

Q: D O O O 59 2 04 Question 16 Evaluate lim N-00 12 01 3|2 • Σ [()* - (-)] ++ N by using it as a…

A:

Q: Calculate the integral. (Use symbolic notation and fractions where needed.) e6x dx %3D In 2 1 + el2x

A: You can solve this problem by the method of substitution.

Q: Find the indefinite integral (6+6 tan o)o d0. 6+6 tan 3ODP

A: Given: ∫(6+6tan2θ) dθ∫(6+6tan2θ) dθ=6∫(1+tan2θ) dθ              Writing tan2θ=sin2θcos2θ…

Q: D O O 01 Evaluate lim N-00 O 12 Question 18 4 3/2 59 2 Σ [³ ( - )* - ( - )] + N by using it as a…

A:

Q: 32 n2と

A: We are going to solve

Q: Evaluate the integral. integral sign with a 4 at the top and a 1 at the bottom. 8square root of z…

A:

Q: 3, 1

A: ∫0∞x3(x2+1)(x+1)2dx put   x3 = u=> dx = 3 x23du => ∫0∞x3(x2+1)(x+1)2dx = ∫0∞3u3(u3 + 1)3(u6 +…

Q: Evaluate the indefinite integral. 26 x14 xp= 3 arctan(1) – 3 arctan(0) 2 X + C

A:

Q: as a definite integral. Express lim 81x i=1 2 - n In(1+ 2i n

A: What is Definite Integral: Definite integral is the sum of areas of all possible rectangles over an…

Q: Evaluate the indefinite integral. бх + 7 +C. || x2 +1

A:

Q: (1) -dr x(x + 1)

A:

Q: Calculate the integral. (Use symbolic notation and fractions where needed.) e4x dx %3D - In 2 1 +…

A:

Q: Evaluate the Integral 6. J csc x sec x tan 2x dx ANSWER: T tan x+1 6. In + C tan x-1

A:

Q: Find an integral expression equal to: 3 2 +3 lim k=1

A: The given sum is, S=limn→∞∑k=1n2nk3+32nS=limn→∞∑k=1n0+2-0nk3+32-0n⋯⋯1   According to the definition…

Q: Evaluate the integral or show that it is divergent.

A: Introduction -  Evaluating the integral of the given function - f(x) = ∫0112-3xdx f(x) = -∫0113x-2dx…

Q: Express lim as a definite integral, f(x)dx. n 0 n i=1

A: Explained below

Q: Evaluate the integral. ∫0 π/4 tan4 θ Sec4 θ dθ

A: Given :          ∫0π4tan4 θ Sec4 θ dθ

Q: Calculate the integral. (Use symbolic notation and fractions where needed.) e6x dx -In 2 1 + el2x

A:

Q: Evaluate the definite integral. V3/3 1 1 + 9x2 xp

A:

Q: lim , E C [2,4| 1/2

A: The solution are next step

Q: Find the integral m tan -x X 1+x?

A:

Q: Evaluate the integral for x > 1/2: x2 100x2 - 25 = xp

A: We have to find the indefinite integral

Q: Evaluate the following using geometric application of definite integral:

A:

Q: x² XP aX

A: This is solve by substitution method

Q: Evaluate the integral. L 10 x² + x + 1 (x + 1)²(x + 2)

A:

Q: Evaluate the definite integral. 1/7 2 dt

A: From the given problem:   I=∫-10t17-t27dt   From the properties of the integral:…

Q: Find an integral expression equal to: lim +2 k=1

A: limn→∞ ∑k=1n2nk3+22n Here, fx=x3+2 &∆x=2n=2-0n⇒a=0 & b=2   ∵∆x=b-an

Q: Find an integral expression equal to: 2 k + 3) +1 lim k=1

A: We know  limn→∞1n∑r=r1r=r2frn=∫abfxdxwhere a=limn→∞r1n and b=limn→∞r2n We have given…

Q: ax+: xp:

A: In this question , we can solve given integral by using substitution method. ∫un du = un+1n+1+C

Q: Evaluate the integral 0 2 0 2-x xdydx.

A:

Q: J 24 tan3 xdx

A: topic- indefinite integral

Q: Evaluate the integral. 0.75 x2 dx 9 - 16x2

A:

Q: (7 - t)/

A:

Q: 9. xp x2 1

A:

Q: 3) Use long division to evaluate the indefinite integral f „s dx.

A:

Q: Evaluate the definite integral. 2. 1/x x4 xp

A:

Q: x+2 (х-1(х+3) xP *

A:

Q: S(2 + vx)³ Vxdx

A: See the details solution in below

Q: Evaluate the integral.

A: Consider the given integral as ∫-33x1+xdx

Q: Evaluate the integral. •n / 4 (sec(0) tan(0)) do Jo

A:

Q: Evaluate the integral. (Use C for the constan (1 +e*)? dr

A: Given: ∫1+ex2exdx

Q: Find an integral expression equal to: lim +1 k=1

A: The given expression is, I=limn→∞∑k=1n2nk+33+12n In general, the Reimann sum can be written as,…

Q: Find the integral m tan -x X .2 1+x?

A: To find the given Integral.

Q: Evaluate the integral.

A: Here given integration can be written as…

Q: Evaluate the integral 2-x 2 [²² 0 0 xdydx.

A: Solve the integral ∫02 ∫02-x x dy dx. Concept used; Power rule of integration; ∫xndx=xn+1n+1+c

Q: ここXP x(メャッ)。

A: put x^2+7=u so that 2x dx=du .and solve the question in 2nd step.

Q: Use the definition of the integral to write 8k 3 2 lim E n- o k =1 n as an integral. Do not evaluate…

A:

Q: S 3rsinh (x²) cosh(x²)dr

A:

Q: Evalaute the definite integral.

A: Given