মান নির্ণয় করো:∫x2sinxdx View Solution Evaluate∫π202sinxdx View Solution Evaluate :∫π20x2sinxdx View Solution intx cosxdx= View Solution ∫x3logxdx= View Solution ∫x2sinaxdx View Solution Doubtnut is No.1 Study App and Learning App with Instant Vid...
Step by step video, text & image solution for int_(sqrtlog2)^(sqrt(log3))(xsinx^(2))/(sinx^(2)+sin(log6-x^(2)))dx का मान है by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams. Updated on:21/07/2023 Class 12MATHSINTEGRALS...
(1)∫_1^22xdx=2∫_1^2xdx=2x1/2x^2l^2=1-1=1,综上,结论是:4(2)∫_(-π)^πsinxdx=-cosx|^n=-cosπ-cos(-π)=0综上,结论是:O(3)设y=√(4-x^2),0≤x≤2,0≤y≤2,平方可得x^2+y^2=4且0≤x≤2,0≤y≤2,即∫_1^2√(1-x^2)dx表示四分之一圆的面...
【题目】1.求下列不定积分:(1) [$$ x e ^ { - } $$/dx (2) xsinxdx(3)$$ \int ( x ^ { 2 } + 1 ) \ln x d x : $$ (4) xarctan xdx;(5) $$ \int x \tan ^ { 2 } $$xdx; (6) $$ f e ^ { \prim e } $$sin2xdx;(7) $$ \int \ln \frac...
∫0π2(cosx(sinx)dx) Definite Integral This question is from the definite integral because the limits are given here so we don't add constant C after integrating this. This will be solved by using the substitution method. Answer and Explanation: {eq}\Rightarrow \ I...
Prove that int(0)^(oo) (sin^(2)x)/(x^(2))dx=int(0)^(oo) (sinx)x dx 04:08 Let f be a non-negative function defined on the interval .[0,1].If int... 05:07 The value of int0^1(x^4(1-x)^4)/(1+x^2)\ dx is 02:02 Let f be a real-valued function defined on...
2∫10−x23−|x|dx D 2∫10sinx−x23−|x|dx Video Solution free crash course Study and Revise for your exams Unlock now Text Solution Verified by Experts The correct Answer is:C Show More | ShareSave Answer Step by step video, text & image solution for int_(-1)^(1)(sinx-x^...
$$ \int_{o}^{\frac{\pi}{2}}x \sin xdx $$ $$ =- \int ^{\frac{\pi}{2}}\times d \cos x $$ $$ - \left[ x \cos x \right] _{0}^{\frac{4}{2}}- \int _{0}^{\frac{\pi}{2}}\cos xdxI \\ =- \left[ \frac{\pi}{2}\cos \frac{\pi}{2}-0...
1.求下列不定积分:(1) $$ \int x e ^ { - x } $$dx; (2) xsinxdx;(3)$$ \int ( x ^ { 2 } + 1 ) \ln x d x ; $$ (4) xarctanxdx;(5) [ $$ x \tan ^ { 2 } $$xdx; (6) $$ f e ^ { x } $$sin2xdx;(7$$ \int \ln \frac { x } { ...
解答解:∫50∫05(2x-4)dx=(x2-4x)|5005=25-20=5, ∫π0∫0πcosxdx=sinx|π00π=0, ∫31∫131x1xdx=lnx|3113=ln3, ∫π0∫0πsinxdx=-cosx|π00π=-(-1-1)=2, 故选:D 点评本题考查了定积分的计算,关键求出原函数,属于基础题. ...