If f is continuous function of x defined on the closed interval $[$a,b$]$ and F is another function such that d/dx F(x) = f(x) for all x in the domain of f, then $\int\limits_a^b f(x) dx$ = f(b) -f(a). This is known as the definite integral of f over the ran...
The value of the integral∫cosec2x−2019cos2019xdxis equal to (where C is the constant of integration) View Solution View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12...
(b) Find integral 3 (2x - 1) (x^2 - x + 5)^{1 / 2} dx. Find the infefinite integral [9x^4+(\frac {4}{x^2})-x]dx Find the integral: integral(sec^2(x)/cosec^2(x))dx Find the integral. Integral of (z + 1)e^(3z) dz. Find the integral integral {1 + cos x}...
Solve the following 13) integral cosec^2 x / cot ^3 d x 15) integral cot^2 x d x Evaluate the integral. integral {(2 ln x + 1) dx} / {x [(ln x)^2 + ln x]} Perform the integration. \int cot^{2} 4x dx Compute the following integrals.A.integral...
Evaluate the definite integral int((pi)/(6))^((pi)/(4))"cosec "xdx 02:04 Evaluate the definite integral int(0)^(1)(dx)/(sqrt(1-x^(2))) 00:47 Evaluate the definite integral int(2)^(3)(dx)/(1+x^(2)) 00:57 Evaluate the definite integral int(2)^(4)(dx)/(x^(2)-1...
(ii)Letcos2αtanθ=x,then dx=cos2αsec2θdθ;θ→π2,x→+∞;θ→−π2,x→−∞.∴J=∫−π2π2sec2θ1+tan2θcos22αdθ=sec2α∫−π2π2cos2αsec2θ1+tan2θcos22αdθ=sec2α∫−∞+∞11+x2dx=sec2α[arcta...
TableofStandardIntegrals 1. x n dx= x n+1 n+1 +C(n=−1) 2. dx x =log|x|+C 3. e x dx=e x +C 4. sinxdx=−cosx+C 5. cosx,dx=sinx+C 6. sec 2 xdx=tanx+C 7. cosec 2 xdx=−cotx+C 8. sinhxdx=coshx+C 9. coshxdx=sinhx+C 10. dx √ a 2 −x 2 =sin...
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evaluate the intergral { 1) 4x^2 (^4\sqrt {(8+4x^3)}) dx\\ 2) cosec^2 (4 \theta + 6 ) d \theta \\3) \frac{(sin t)}{ (10+cos t)^4}\\ 4) x^2 cos (x^3+3) \sqrt {(sin (x^3 +3))} dx } Evaluate the integral: int_{3}^{16} 3square root{x} dx Evalua...
Evaluate the definite integral: integral_pi/6^pi/4 cosec x dx Evaluate the definite integral. \int^{\frac{\pi}{12_0 \cos 6x \sin(\sin 6x) dxExplore our homework questions and answers library Search Browse Browse by subject Ask a Homework Question Tutors available × Our tutors are ...