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Q: Evaluate the integral. (Use C for the constant of integration.) 5 cos?x sin 2x dx
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Q: Evaluate the integral. (Use C for the constant of integration.) cos-1(x) dx
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Q: Evaluate the integral. (Use C for the constant of integration.) 7 sin?(x) cos3(x) dx
A: INtegral can be rewritten as: int 7 sin2(x)(1-sin2(x))cos(x)dx Let sin(x)=t cos(x)dx=dt…
Q: Evaluate the integral. (Use C for the constant of integration.) | 3 tan?(x) dx
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Q: Evaluate the integral. (Use C for the constant of integration.) 9 cos?x sin 2x dx
A: This question is based on Indefinite Integral.
Q: Evaluate the integral. (Use C for the constant of integration.) dx /x² + + 81
A: In this question given that a integration and solve it. We use here integration formula and solve…
Q: Evaluate the integral. (Use C for the constant of integration.) dx /x² + + 81
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Q: Evaluate the integral. (Use C for the constant of integration.) dx x² + 81
A: Use substitution method to integrate. or use ∫secθ dθ = logsecθ + tanθ + C1…
Q: Evaluate the integral. (Use C for the constant of integration.) | (x – 3)sin(xx) dx
A: The given integral:∫x-3sinπxdxWe need to evaluate the above integral.We will use integral by parts…
Q: Find the integral. (Use C for the constant of integration.) sin(-3x)cos(2x) dx
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Q: Evaluate the integral. (Use C for the constant of integration.) x5 dx
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Q: Evaluate the integral. (Use C for the constant of integration.) 1- sin(x) dx
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Q: Evaluate the integral. (Use C for the constant of integration.) x cos(6x) dx
A: Let, u=x and dv=cos(6x)
Q: Evaluate the integral. (Use C for the constant of integration.) 15x cos?(x) dx
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Q: Evaluate the integral. (Use C for the constant of integration.) (8x + 7 sin(x))? dx
A: Answer is given below....
Q: Evaluate the integral -1 dx x² + 16 Note: Use an upper-case "C" for the constant of integration.
A: LetI=∫-1x2+16dxTake the constant out: ∫a·fxdx=a·∫fxdxI=-∫1x2+16dxI=-∫1x2+42dxPur x=4tany…
Q: Find the integral. (Use C for the constant of integration.) (x6 + 5-×) dx
A: In this question, we need to find the integral of given function.
Q: Evaluate the integral. (Use C for the constant of integration.) dx x2 + 49 In sec| arctan + tan|…
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Q: Evaluate the integral. (Use C for the constant of integration.) 2 sin?(x) cos (x) dx
A: Let the given integral be y - y = ∫2sin2xcos3xdxy = 2∫sin2xcos3xdxy = 2∫sin2xcos2xcosxdxy =…
Q: Evaluate the integral. (Use C for the constant of integration.) | 2 sin?(x) cos (x) dx
A: Let, z=sin(x)dz=cos(x)dx
Q: Evaluate the integral. (Use C for the constant of integration.) (ln(x))2 dx
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Q: Evaluate the integral. (Use C for the constant of integration.) (3* – 5*) dx
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Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx
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Q: Evaluate the integral. (Use C for the constant of integration.) 9)sin(xx) dx
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Q: Evaluate the integral. (Use C for the constant of integration.) tan (x) cos7(x) dx
A: Firstly we will rewrite the given integral as shown below and then solve the integral by using…
Q: Evaluate the integral. (Use C for the constant of integration.) 10 sin(2x) dx 1 + cos“(x)
A: Answer is -10arctan(cos^2x)+C.
Q: Evaluate the integral. (Use C for the constant of integration.) tan (x) cos7(x) dx
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Q: Use integration tables to find or evaluate the integral ∫ 1 / sin x cos x dx
A: We have to evaluate the integral: ∫1sin x cos xdx We know the identity: sin2x+cos2x=1 Substituting…
Q: Evaluate the integral 8 dx x² V25 – x2 Note: Use an upper-case "C" for the constant of integration.
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Q: Evaluate the integral. (Use C for the constant of integration.) (2× – 5*) dx
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Q: Evaluate the integral. (Use C for the constant of integration.) V1- x4 dx
A: Given: Let I=∫3x1-x4 dx To Find: To evaluate the given integral.
Q: Evaluate the integral. (Use C for the constant of integration.) ln(√x) dx
A: I = ∫ln(x)dxUsing, ln ab=b ln aI = ∫ln(x)12dxI =12∫ln(x) dx
Q: Evaluate the integral. (Use C for the constant of integration.) (x2 - 9x) dx
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Q: Evaluate the integral. (Use C for the constant of integration.) 7 cos (a) da sin(æ)
A: Explanation of the answer is as follows
Q: Evaluate the integral. (Use C for the constant of integration.) 9 sin(2x) dx 1 + cos“(x)
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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) x…
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Q: Evaluate the integral. (Use C for the constant of integration.) ∫ 3 tan2(x) dx
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Q: Evaluate the integral | 2 cos(In(x)) dx, x > 0 Note: Use an upper-case "C" for the constant of…
A: Given information: The integral is ∫ 2coslnxdx. Concept used: Integration by parts: ∫udv=uv-∫vdu…
Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…
A: Given, ∫sin4(x)cos(x)dx and use substitution u=sin(x)
Q: Evaluate the integral. (Use C for the constant of integration.) 9 sin(4) cos³(4) dp
A: Given integral is Let us take
Q: how to solve problem in photo attached
A: Given:
Q: Evaluate the integral. (Use C for the constant of integration.) 9x cos(8x) dx
A: Integrate this by integration by parts
Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 5 sin x) dx
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Q: Find the indefinite integral. (Use C for the constant of integration.) sin x xp 5 + cos? x
A: This question is related to indefinite integration, We will solve it using substitution method.
Q: Find the indefinite integral. (Use C for the constant of integration.) -cos X dx sin5 x
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Q: Evaluate the integral. (Use C for the constant of integration.) 33 + 8x – x2 dx
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Q: Use the indicated formula from the integration table in Appendix C to find the indefinite integral.…
A: Given query is to find the value of integration by given formula.
Q: Evaluate the integral. (Use C for the constant of integration.) 3 + 2x - x2 dx
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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) dx x2…
A: Given: ∫dxx24x2+81
Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ecos(25t) sin(25t) dt
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