Koin Cex"-8) dx gin(2x

Q: tan' 7x dx

A:

Q: Evaluate the integrals ∫sec2 x tan2 x dx

A:

Q: Use substitution techniques and a table of integrals to find the indefinite integral. xp- Vx -1

A: follow next syep

Q: •2 dx

A:

Q: Evaluate the integrals ∫tan5 x dx

A: I=∫ tan 5x dx =∫Sin 5xcos 5x dxLet cos 5x=t-5 sin 5x dx=dtsin 5x dx=-dt5

Q: Solve the integrals using appropriate substitution.

A: Solving the problem by method of substitution.

Q: 1. Jx cos 3x dx

A: Question 1 is solved. Solving more than 1 is against the policy.

Q: 3evy dy 4 У 18.

A: Given: I=∫3ey4ydy   ...1   We know that, ∫cfxdx=c·∫fxdx where ''c'' is the constant.

Q: (x+2) dx /3-2x-x2

A: Integration:                             ∫(x+2)3-2x-x2 dx

Q: What is the integral of cosh4x*sinh5x?

A:

Q: Evaluate the integrals ∫sec6 x dx

A:

Q: eV3x+9 dx

A:

Q: 8. Evaluate the integral by using trigonometric substitution 4x-x2

A:

Q: Solve the integral by using integration techniques

A: We have to solve

Q: Use reduction formulas to evaluate the integrals ∫ sin2 2θ cos3 2θ dθ

A:

Q: sec2(Arctan x) dx 1+ x²

A: We have to use integration by substitution technique. we can use substitution for Arctan x.

Q: Evaluate the integrals ∫sin5x/2 dx

A:

Q: Find the indefinite integral.

A:

Q: 5x х? — х — 6

A: Integration by using partial fraction

Q: Evaluate the integral. 5ex dx -3

A: We find the integration by using formula of definite integral.

Q: Evaluate the integrals ∫tan4 x sec2 x dx

A:

Q: Evaluate the integrals ∫4 tan3 x dx

A: To evaluate,  ∫4 tan 3x dx

Q: cOs x In(sin x) dx

A: Given,  ∫cos x ln(sin x) dx

Q: Evaluate the integrals ∫8 cosh √x/√x dx

A: We have to evaluate ∫8coshxxdx Let substitute t=x dtdx=12x2dt=1xdx Substituting the above value in…

Q: Whats the integral of Cosh4xsinh5x?

A:

Q: (1+ In²e) -' d® Otan-'(In®)

A: To evaluate:2) ∫41+ln2θ-1θtan-1lnθdθ

Q: Evaluate the integrals ∫ex sec2 (ex - 7) dx

A: Given: I=∫exsec2ex-7dx for evaluating given integral, we substitute ex-7=t…

Q: Evaluate the integrals ∫sec x tan2 x dx

A:

Q: Use reduction formulas to evaluate the integrals ∫ 4 tan3 2x dx

A: Consider the provided integral, ∫4tan32xdx Use reduction formulas to evaluate the integral. Use this…

Q: Evaluate the integrals sec 3x tan 3x dx

A: As per guidelines, i can answer only one question.

Q: What is the  integral of ex^2?

A: Given

Q: Evaluate the integral. +5/8 dx

A: Solution is already given . Solving step 3 only as you have already mentioned

Q: Use substitution to find the indefinite integral. 6x+7 (3x +7x) to

A:

Q: Find the integral. 5sinh x -dx 1+cosh x

A:

Q: 3.) КОЈ о dxdy

A: SOLUTION-

Q: 3 2. scc?x tanxdx

A: In this question we have to Solve the Integration.

Q: Find the indefinite integral

A:

Q: Evaluate the integrals ∫sin3 x cos4 x dx

A:

Q: x3 – 4x? + 7x – 9 dx 30. x – 5

A:

Q: 10dx =l 1-cos(2x)

A:

Q: Evaluate the integrals ( sec5 3x tan 3x dx

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Q: 6. Ve* – 16dx

A:

Q: √tanx secox dx

A: Given problem:- ∫√(tanx) sec6x dx

Q: solve both without using the table of integrals. Q1) integral of cos4xdx   Q2) integral of tan5xdx

A: according to our guidelines we’ll answer the first question since the exact one wasn’t specified.…

Q: Evaluate the integral using the formulas in the summary and Eq. (1).

A:

Q: Solve the function 3x4ex^5 dx on the integral from 2 to 3

A: Given:

Q: Find the integral. 4 9) x4 In 2x dx A) 391.74 B) -202

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Q: In2x dx In4x х

A:

Q: Evaluate the integral, if it exists. If it does not exist then explain why. ' 10 x² – 4 -dx 2

A:

Q: 1 use this fact and the properties of integrals to evaluate (5 - 6x2) dx. Given that

A: