alleryStart learning →If $P(A)=0.3$, $P(B)=0.4$ and A, B are mutually exclusive, then $P(A\cup B)$ is:
- 0.12
- 0.1
- 1.0
- 0.7
Show answer and solution
Correct answer: D. 0.7
For mutually exclusive events, P(A∪B) = P(A)+P(B) = 0.3+0.4 = 0.7.
Indian Navy INET Integral Calculus — practice questions
Explore 22 free Integral Calculus questions in Indian Navy INET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Integral Calculus with Quill →Integral Calculus questions and exercises with answers
Showing questions 1–22 of 22.
If $P(A)=0.3$, $P(B)=0.4$ and A, B are mutually exclusive, then $P(A\cup B)$ is:Read the answer and worked solution →To evaluate $\int x\cos x\, dx$, the best technique is:Read the answer and worked solution →Complete the relationship between the two calculiRead the answer and worked solution →True or false: the constant of integrationRead the answer and worked solution →Differentiation or integration?Read the answer and worked solution →Tap every property of indefinite integrals the chapter givesRead the answer and worked solution →Properties in useRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: check an indefinite integralRead the answer and worked solution →Flip and pair: term with meaningRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →True or false: reading the notationRead the answer and worked solution →Definite or indefinite?Read the answer and worked solution →Reading the definitions backRead the answer and worked solution →Complete the linearity rulesRead the answer and worked solution →Which process is being described?Read the answer and worked solution →True or false: what the constant meansRead the answer and worked solution →Checking an integralRead the answer and worked solution →Tap every true statement about integrationRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →
Worked practice questions
To evaluate $\int x\cos x\, dx$, the best technique is:
- Direct substitution $u = \cos x$ on the chart at one step
- Partial fractions, since the integrand is a rational function
- Trigonometric identity simplification on the school chart
- Integration by parts with $u = x$, $dv = \cos x\, dx$
Show answer and solution
Correct answer: D. Integration by parts with $u = x$, $dv = \cos x\, dx$
Integration by parts: $u = x$, $dv = \cos x\, dx$ gives $du = dx$, $v = \sin x$
result $x\sin x + \cos x + C$.
Complete the relationship between the two calculi
Read exercise and reference answers
- Missing parts
- Answer
- derivative
- Choices
- derivative
- integral
- limit
- Answer
- function
- Choices
- function
- constant
- slope
- Answer
- inverse
- Choices
- inverse
- same
- square
- Complete the statement
- In differential calculus you are given a function and find its {0}. In integral calculus you are given the differential and must find the {1}. So integration is the {2} of differentiation.
Integration undoes differentiation. Source: syllabus Maths, Ch 7 Integrals.
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